Question

19. Sally has $35 and earns $15 for each batch of cake balls she sells. Kristen has $52 and earns $12 for each batch of cookies she sells. How many batches of cake balls does Sally need to sell to have more money than Kristen?

Answer 1

6 batches

Step-by-step explanation

Let the number of batches of cake balls or batches of cookies be x.

Sally has $35 and earns $15 for every batch of cake she sells.

This means that the total amount of money that she has after selling x batches of cake balls is:

35 + 15x

Kristen has $52 and earns $12 for every batch of cookies she sells.

This means that the total amount of money that she has after selling x batches of cookies is:

52 + 12x

To find the number of batches of cake balls that Sandy must sell to have more money than Kristen, we have to write the inequality:

35 + 15x > 52 + 12x

Now, collect like terms:

15x - 12x > 52 - 35

3x > 17

Divide through by 3:

x > 17/3

x > 5.7

We have to round up to whole number since batches of cake balls must be whole.

So, Sandy must sell 6 batches of cake balls to have more money than Kristen.