Question

A textbook store sold a combined total of 409 chemistry and physics textbooks in a week. The number of physics textbooks sold was 43 less than the number of chemistry textbooks sold. How many textbooks of each type were sold?

Answer 1

The textbooks of each type sold were 226 chemistry and 183 physics.

Explanation:

Given:

A textbook store sold a combined total of 409 chemistry and physics textbooks in a week.

The number of physics textbooks sold was 43 less than the number of chemistry textbooks sold.

Now, to find the textbooks of each type were sold.

Let the number of chemistry textbooks sold is
`x.`

And the number of physics textbooks sold is
`x-43.`

Total combined of both textbooks sold = 409.

According to question:

`x+(x-43)=409`

`2x-43=409`

Adding 43 on both sides we get:

`2x=452`

Dividing both sides by 2 we get:

`x=226`

Number of chemistry textbooks are 226.

Number of physics textbooks =
`x-43=226-43=183`

Therefore, the textbooks of each type sold were 226 chemistry and 183 physics.