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

Answer:

$x=10$

$8(4+x) = 112$

Step-by-step 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

$x=10$