Question

Ms. Tang has asked Keith and Judy to paint small hearts on their classroom walls. Keith has painted 33 hearts and is painting at the rate of 10 hearts per hour. Judy has painted 25 hearts and is painting at the rate of 14 hearts per hour. In how many hours will they have painted the same number of hearts?

Answer 1

Answer:

it will take Keith and Judy 2 hours to have painted the same number of hearts.

Step-by-step explanation:

Let's denote the number of hours that it takes for them to have painted the same number of hearts as x.

In x hours, Keith will have painted 33+10x hearts, and Judy will have painted 25+14x hearts.

Setting these two expressions equal to each other and solving for x, we get:

33+10x=25+14x

4x=8

x=2 hours.

Therefore, it will take Keith and Judy 2 hours to have painted the same number of hearts.