Question

Every New Year's Day, Jennifer brings 13 candies for each of her grandchildren and 20 more candies for the adults to share.

Let g represent the number of Jennifer's grandchildren and c represent the total number of candies she brings.

Find the value of c when g=9.

Answer 1

C=137 because if you use the equation 13(7) + 20 you will get 137 candies.

Answer 2

We can use the given information to set up a system of two equations:

c = 13g + 20

c - 13g = 20

The second equation is obtained from the first equation by subtracting 13g from both sides.

To solve this system, we can use substitution.

First, we solve the second equation for c.

c = 20 + 13g

Then, we substitute this expression for c into the first equation.

20 + 13g = 13g + 20

Then, we simplify.

20 = 20

So, the value of c when g = 9 is 20 + 13 * 9 = 20 + 117 = 137.

Explanation: