Exercises: Word problems with prices

For an Art project, Marcos needs to buy $2 \text{ m}$ and $40 \text{ cm}$ of decorative ribbon. If a meter of ribbon costs $\$10$, what is the total cost of the ribbon Marcos needs?

Lucía's mother has bought a rectangular rug for her bedroom measuring $3 \text{ m}$ long and $2 \text{ m}$ wide. If the price of the rug is $\$300$ per square meter ($m^2$), how much did the rug cost?

In a stationer's, a gram of special craft paper costs $\$0.40$. If we buy a sheet weighing $80 \text{ dg}$, how much will we have to pay?

A delivery van can transport a maximum of $1.5 \text{ t}$ (metric tons). If the transport cost is $\$2$ per kilogram of load, how much will the delivery cost if the van is filled to its maximum capacity?

In your local greengrocer's, a kilogram of Jerte cherries costs $\$5.80$. If you decide to buy a bag containing $750 \text{ g}$ of cherries and pay with a $\$10$ note, how much change will you receive?

You want to replace the floor in your bedroom, which is rectangular with dimensions of $4 \text{ m}$ long and $350 \text{ cm}$ wide. The price of the laminate flooring you like is $\$370$ 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. At the supermarket you have two options:

• $1.5 \text{ L}$ bottles at $\$24$ each.

• Packs of 6 cans of $33 \text{ cl}$ at $\$63$ per pack.

Calculate how much it would cost you to buy the exact $12 \text{ L}$ 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 off a rectangular field for his sheep measuring $1.5 \text{ hm}$ long and $80 \text{ m}$ wide. A meter of metal fencing costs $\$128$. Furthermore, 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 required fencing?

A tanker lorry carries $15 \text{ m}^3$ of drinking water to supply a drought-affected area.

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

In a hardware store, network cable is sold at $\$17$ 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 gives you a discount of $\$50$ 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 covering an area of $0.85 \, ha$. To keep the trees hydrated during the summer, he uses an irrigation system that consumes exactly $12 \, L$ of water per square meter per day. If the price of irrigation water is $\$7$ per cubic meter ($m^3$), how much will the water bill come 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 $\$2\,900$ per kilogram. In addition, the glass bottle costs $\$43$ and the packaging $\$16$. If they want to make a profit of $\$300$ per bottle sold, what should the retail price of a single bottle be?

We want to paint the four walls and ceiling of an exhibition hall shaped like a rectangular prism. The dimensions of the floor plan 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 window wall that occupies $15 \, m^2$.

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

• The paint is sold in cans of $5 \, L$ at a price of $\$850$ per can.

Calculate the total cost of the required paint, taking into account that only full cans can be bought.

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

• Option A: A $450 \, g$ jar costing $\$2.85$.

• Option B: A $0.6 \, kg$ jar with an offer of "$20 \, \%$ extra free" (that is, 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 one.

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 packaged into $75 \, cl$ bottles and each bottle is sold on the international market at a price of $12.50$ dollars, what is the total value of the tank in dollars? (Assume that the tank is completely emptied).

Artificial turf is to be installed on a training field that measures $0.4 \, hm$ long and $250 \, dm$ wide. There are two quotes:

• Company "VerdeTotal": $\$370$ per square meter, but they charge a fixed installation fee of $\$9\,000$.

• Company "PraderaPlus": $\$0.04$ 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?