Answer:
Lucia used [tex]4\ cups[/tex]
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
[tex]3\frac{1}{3}=\frac{3*3+1}{3} =\frac{10}{3}[/tex]
[tex]1\frac{1}{5}=\frac{1*5+1}{5} =\frac{6}{5}[/tex]
[tex]x=\frac{10}{3}y[/tex] ------> equation A
[tex]y=\frac{6}{5}\ cups[/tex]
substitute the value of y in the equation A and solve for x
[tex]x=\frac{10}{3}(\frac{6}{5})=\frac{60}{15}=4\ cups[/tex]