Word problems with equations

If you add a consecutive number (the number that comes right after) to a number, the result is $43$. Set up an equation to find out what the number is.

A group of friends buys a family-sized pizza that costs $240$ pesos. If they have $160$ pesos left over after paying for it from the money they had collected, how much money did they have at the start? Represent the initial amount with the letter $x$.

In the Science lab we have a balance in equilibrium, as the figure shows. On the left pan there are $2$ identical boxes (each weighing $x$ kg) and a $1$ kg weight. On the right pan there is a $7$ kg weight. Write the equation that represents this equilibrium and calculate how much each box weighs.

To balance a scale in the Science lab, we have placed a stone of unknown weight $x$ and a $12$-gram weight on the left pan. On the right pan, to keep it balanced, we had to put four equal weights, each with the same weight $x$ as the original stone. How much does the stone weigh?

Amina is $3$ years older than her younger brother. If their combined age is $19$ years, how old is each of them? Let $x$ be the age of the younger brother.

Marcos is playing a video game and has scored twice as many points in the current level as in the previous level. If he scores a total of $150$ points across both levels, how many points did he get in each level? Let $x$ be the points in the first level.

Héctor is 5 years older than his sister Ainhoa. In 8 years' time, the sum of their ages will be 41 years. How old is each of them now?

(Remember to add 8 years to each person's age to set up the future sum).

Salma's mother is currently three times her age. In $12$ years, her mother's age will be only twice Salma's age. How old is each of them currently? Use a table to organise the data for the present and the future.

We are designing an esports team logo shaped like an isosceles triangle. We want the perimetre to be $30$ cm. If the base measures $10$ cm and the other two sides are equal, how long must each of those sides ($x$) be?

We want to fence off a small rectangular vegetable patch to plant tomatoes. The length of the patch is twice its width. If we have used $18$ meters of fencing to completely surround it (perimeter), what are the width and length of the patch?

The perimeter of an isosceles triangle-shaped technology park is $110$ meters. We know that each of the equal sides measures $10$ meters more than twice the base. Calculate the length of each of the three sides of the park by setting up an equation.

On a shelf in a comic book shop, there are three times as many action manga as mystery manga. If there are $48$ comics in total between both genres, how many are there of each type? Let $x$ be the mystery comics.

The PE teacher has bought three boxes of tennis balls. The second box contains twice as many balls as the first, and the third box has $10$ more balls than the second. If there are $85$ balls in total, how many balls are in each box?

In a games shop, they sold three times as many copies of an adventure game as a sports game. Furthermore, they sold $15$ fewer units of a platform game than the adventure game. If they sold a total of $125$ video games across the three titles, how many copies were sold of each one?

In a shopping center parking lot there is a total of $32$ vehicles, including cars and motorcycles. If we count all their wheels (excluding spare tires), we get a total of $94$ wheels. Calculate how many cars and how many motorcycles are in the parking lot.

(Hint: If we let $x$ be the number of cars, the number of motorcycles will be $32 - x$).

In a piggy bank, there are $0.50$ pesos and $1$ peso coins. In total, there are $35$ coins with a total value of $26$ pesos. How many coins of each type are in the piggy bank? (Hint: if you let $x$ be the number of $1$ peso coins, the number of $0.50$ pesos coins will be $35 - x$).

On a scientific expedition through the Amazon, the team consumes $\frac{1}{4}$ of their water supply on the first day. On the second day, they consume $\frac{2}{5}$ of what was left in the tank. If after these two days they still have $135$ liters, how many liters of water did they have at the start of the expedition?

A digital content creator reviewed their monthly statistics. The comedy video has twice as many views as the technology video, and the travel video has $4000$ more views than the comedy video. If all three videos total $24000$ views altogether, how many views does each video have?