105k views
5 votes
Ian picked 5 times as many strawberries as Michelle. Joe picked 7 times as many strawberries as Michelle. Ian and Joe picked a total of 192 strawberries. How many strawberries did Joe pick?

User Christos
by
6.3k points

1 Answer

1 vote

Answer:

Joe picked 112 strawberries

Explanation:

If Ian picked 5 times as many strawberries as Michelle, and Joe picked 7 times as many as Michelle. Together, Ian and Joe picked a total 192 strawberries.

If we want to find out how many strawberries Joe picked, we need to work with the proportions we are given.


Let's denote Michelle's strawberries as x

Ian picked five times that many: 5x

Joe picked 7 times that many: 7x

Ian and Joe together picked 192 strawberries

192 = 5x + 7x combine like terms

192 = 12x divide both sides by 12 to isolate x

x = 16

If Joe's strawberries are represented by 7x and x is 16 strawberries, then

7 (16) = Joe's strawberries

Joe picked 112 strawberries

User Diego Alves
by
5.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.