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

Answer:

Lucia used $4\ cups$

Step-by-step 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

$3\frac{1}{3}=\frac{3*3+1}{3} =\frac{10}{3}$

$1\frac{1}{5}=\frac{1*5+1}{5} =\frac{6}{5}$

$x=\frac{10}{3}y$ ------> equation A

$y=\frac{6}{5}\ cups$

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

$x=\frac{10}{3}(\frac{6}{5})=\frac{60}{15}=4\ cups$