Question

the product of 8 and the sum of 4 and a number is 112. What is the number? Which equation could be used to solve for the number?

Answer 1

Product of 8 and the sum of 4 and a number:

sum of 4 and a number: (4 + n)

Product of 8

8 x (4 + n) is 112

8 x (4 + n) = 112

Distribute

32 + 8n = 112

Subtratc

8n = 80

Divide by 8

n = 10

The number is 10, and next time please put options because it says "Which equation could be used to solve for the number?" Thanks! :)

Answer 2

`x=10`

`8(4+x) = 112`

Explanation:

the product of 8 and the sum of 4 and a number is 112

LEt x be the unknown number

the sum of 4 and a number

Sum means addition, so we add 4 and x

`4+x`

product of 8 and sum 4+x

product means multiplication

`8(4+x)`

8(4+x) is equal to 112

`8(4+x) = 112` is the equation used to solve for the number

We solve for x

`32 + 8x = 112`

Subtract 32 on both sides

`8x=80`

divide by 8 on both sides

`x=10`