The product of eight minus a number and seven equals forty when decreased by five. Which equation represents the sentence?



A)

5(x - 8) - 7 = 40



B)

5(8 - x) - 7 = 40



C)

7(x - 8) - 5 = 40



D)

7(8 - x) - 5 = 40

Verified Answer :

D.) 7(8 - X) - 5 = 40

let X = unknown number

eigth minus a number is 8 - x. since the product is seven and eight minus a number then 7 * [8-x] or 7(8-5).
40 is its equivalent when the product is decreased by 5; therefore, 7(8-x) - 5 = 40.

Answer : D  7(8-x)-5 = 40

The product of eight minus a number and seven equals forty when decreased by five

Let the unknown number be x

eight minus a number means 8 -x

For product we multiply

The product of eight minus a number and seven

It means the product of 8-x  and 7

So expression becomes 7(8-x)

The product of eight minus a number and seven equals forty when decreased by five

To decrease by 5 we subtract 5

7 (8-x) -5 and this equals 40

So equation becomes 7(8-x)-5 = 40