Exercises: Problems with prices

At the local grocery store, the price of apples is $1,80 \text{ \$}$ per kilogram. If we want to buy a bag that weighs exactly $500 \text{ g}$, how much money will we have to pay?

For an art project, Ethan needs to buy $2 \text{ m}$ and $40 \text{ cm}$ of decorative ribbon. If a meter of ribbon costs $0,50 \text{ \$}$, what is the total cost of the ribbon Ethan needs?

A $1 \text{ L}$ bottle of olive oil costs $8,40 \text{ \$}$. If a restaurant buys a $5 \text{ L}$ bottle that maintains the same price per liter, how much will they pay for the whole bottle?

A $250 \text{ g}$ bag of coffee costs $3 \text{ \$}$. What is the price per kilogram of this same coffee?

Sophia's mother has bought a rectangular rug for her bedroom that measures $3 \text{ m}$ long and $2 \text{ m}$ wide. If the price of the rug is $15 \text{ \$}$ per square meter ($m^2$), how much did the rug cost?

In a stationery store, a gram of special craft paper costs $0,02 \text{ \$}$. If we buy a sheet that weighs $80 \text{ dg}$, how much will we have to pay?

A farmer sells honey in $250 \text{ ml}$ jars at a price of $4 \text{ \$}$ each. If a customer wants to buy exactly $1 \text{ L}$ of honey, how many jars do they need and how much money will they spend in total?

A delivery van can transport a maximum of $1,5 \text{ t}$ (metric tons). If the transport cost is $0,10 \text{ \$}$ per kilogram of cargo, how much will the delivery cost if the van is full to its maximum capacity?

At your local grocery store, a kilogram of cherries costs $\$5,80$. If you decide to buy a bag containing $750 \text{ g}$ of cherries and hand over a $\$10$ bill to pay, how much change will you get back?

You want to renovate the floor of your bedroom, which has a rectangular shape with dimensions of $4 \text{ m}$ long and $350 \text{ cm}$ wide. The price of the laminate flooring you like is $\$18,50$ per square meter. What will be the total cost of the material to cover the whole floor?

For a birthday party, you need to buy $12 \text{ L}$ of orange drink. In the supermarket you have two options:

• $1,5 \text{ L}$ bottles at $\$1,20$ each.

• 6-can packs of $33 \text{ cl}$ at $\$3,15$ per pack.

Calculate how much it would cost you to buy exactly $12 \text{ L}$ using only the first option. How many packs of cans would you have to buy to have at least that amount?

A farmer wants to fence a rectangular plot for his sheep that measures $1,5 \text{ hm}$ long and $80 \text{ m}$ wide. A meter of wire fencing costs $\$6,40$. In addition, he must leave a gap of $30 \text{ dm}$ to install a gate he has already bought. What will be the total budget to buy the necessary fencing?

A perfume shop is offering a promotion on your favorite cologne. The $75 \text{ ml}$ bottle costs $\$13,50$, while the "economy" size bottle of $0,2 \text{ L}$ costs $\$32$.

1. a) What is the price per liter in each of the formats?
2. b) Which format is cheaper?

A farmer has inherited a plot of rural land of $2,4 \text{ ha}$ (hectares). Knowing that the price of land in that area is $\$12$ per square decameter ($\text{dam}^2$), what is the total value of the farm?

A tanker truck transports $15 \text{ m}^3$ of drinking water to supply a drought-stricken area.

1. a) If the water is sold at $\$0,05$ per decaliter ($\text{daL}$), how much is the truck's entire load worth?
2. b) How many $5 \text{ L}$ bottles could be filled with all that volume?

In a hardware store, network cable is sold at $\$0,85$ per meter. You need to buy several pieces to install internet at home: one of $1250 \text{ cm}$, another of $85 \text{ dm}$ and a final piece of $4 \text{ m}$. If the store clerk gives you a discount of $\$2,50$ for buying more than $20 \text{ m}$ in total, how much will you have to pay in the end?

An organic farmer has a citrus orchard that occupies an area of $0,85 \, ha$. To keep the trees hydrated during the summer, they use an irrigation system that consumes exactly $12 \, L$ of water per square meter per day. If the price of irrigation water is $\$0,35 \, \$$ per cubic meter ($m^3$), what will the water bill amount to after a month of $30$ days?

A cosmetics company manufactures a luxury perfume. To fill each $75 \, ml$ bottle, they use an essence with a density of $0,85 \, g/cm^3$. The production cost of the essence is $\$145 \, \$$ per kilogram. In addition, the glass bottle costs $\$2,15 \, \$$ and the packaging $\$0,80 \, \$$. If they want to make a profit of $\$15 \, \$$ on each bottle sold, what should the retail price of a single bottle be?

We want to paint the four walls and the ceiling of an exhibition room that has the shape of a cuboid. The dimensions of the base are $12 \, m$ long by $80 \, dm$ wide, and the height of the room is $350 \, cm$. We know that:

• One of the long walls has a glass panel that occupies $15 \, m^2$.

• The coverage of the paint is $1 \, L$ for every $10 \, m^2$.

• The paint is sold in $5 \, L$ cans at a price of $\$42,50 \, \$$ per can.

Calculate the total cost of the paint needed, bearing in mind that only full cans can be bought.

A delivery truck has a maximum load capacity of $3,5 \, t$. It must transport boxes of concentrated detergent. Each box contains $24$ bottles, and each bottle has a mass of $1.250 \, g$. If each empty box weighs $800 \, g$ and the selling price of each individual bottle is $\$6,45 \, \$$, what is the total value of the goods transported by the truck when it is loaded to its maximum capacity without exceeding it?

A municipal swimming pool $25 \, m$ long and $12,5 \, m$ wide has been filled to a height of $180 \, cm$. Due to evaporation and use, the water level drops by $5 \, mm$ every day. If the price of water is $\$1,95 \, \$$ per cubic meter ($m^3$), calculate how much money it costs the city council to replace the lost water after a summer season of $90$ days.

In a supermarket we find two offers for jars of jam of the same brand:

• Option A: A $450 \, g$ jar that costs $\$2,85 \, \$$.

• Option B: A $0,6 \, kg$ jar with an offer of "$20 \, \%$ extra free" (i.e. the jar contains $20 \, \%$ more mass but the price is that of the standard $600 \, g$ jar), for a price of $\$3,90 \, \$$.

Determine which of the two options is cheaper by calculating the price per kilogram of each.

A cube-shaped tank with an edge of $1,5 \, m$ is full of olive oil. We know that the density of the oil is $0,92 \, kg/dm^3$. If the oil is bottled in $75 \, cl$ bottles and each bottle is sold on the international market at a price of $\$12,50 \, $, what is the total value of the tank in dollars? (Assume the tank is completely emptied).

Artificial grass is to be installed on a training field measuring $0,4 \, hm$ long and $250 \, dm$ wide. There are two quotes:

• Company "TotalGreen": $\$18,50 \, \$$ per square meter, but they charge a fixed installation fee of $\$450 \, \$$.

• Company "MeadowPlus": $\$0,0022 \, \$$ per square centimeter, with installation included in the price.

Which company is cheaper for this field and how much money is saved compared to the other option?