Question

A textbook store sold a combined total of 372 history and physics textbooks in a week. The number of history textbooks sold was two times the number ofphysics textbooks sold. How many textbooks of each type were sold?Number of history textbooks sold:Number of physics textbooks sold:

Answer 1

The Solution:

Let the number of Physics textbooks sold be x.

The question says, the number of History textbooks sold is two times the number of physics textbooks. This means that the number of History textbooks sold is 2x.

The total textbooks sold in the week is 372.

Mathematically, we have the given problem in an equation as below:

`x+2x=372`

Solving for x, we shall first collect like terms.

`\begin{gathered} 3x=372 \\ \text{Dividing both sides by 3, we get} \\ (3x)/(3)=(372)/(3) \\ \\ x=124 \end{gathered}`

So, the number of Physics textbooks sold is 124.

The number of History textbooks sold is

`2x=2(124)=248\text{ textbooks}`

Therefore, the number of Physics textbooks sold is 124.

The number of History textbooks sold is 248.