Question

Ibrahim and Lucia each made a bowl of punch. Lucia used 3 1/3 times as much lemonade as Ibrahim did. If Ibrahim used 1 1/5 of a cup lemonade, how many cups of lemonade did Lucia use? Show using pictures

Answer 1

Lucia used
`4\ cups`

Explanation:

Let

x-------> quantity of lemonade used by Lucía

y------> quantity of lemonade used by Ibrahim

we know that

Convert mixed number to an improper fraction first

`3(1)/(3)=(3*3+1)/(3) =(10)/(3)`

`1(1)/(5)=(1*5+1)/(5) =(6)/(5)`

`x=(10)/(3)y` ------> equation A

`y=(6)/(5)\ cups`

substitute the value of y in the equation A and solve for x

`x=(10)/(3)((6)/(5))=(60)/(15)=4\ cups`