Answer:
Latoya's recipe: 9:20
Parker's recipe: 7:12
Step-by-step explanation:
Latoya's recipe:
Cranapple juice - [tex]2\dfrac{1}{5}[/tex] parts
Lemonade - [tex]1\dfrac{4}{5}[/tex] parts
Total - [tex]2\dfrac{1}{5}+1\dfrac{4}{5}=(1+2)+\dfrac{1}{5}+\dfrac{4}{5}=3+\dfrac{5}{5}=3+1=4[/tex] parts
Ratio
[tex]\dfrac{\text{parts of lemonade}}{\text{total parts}}=\dfrac{1\frac{4}{5}}{4}=\dfrac{\frac{9}{5}}{4}=\dfrac{9}{20}[/tex]
Parker's recipe:
Cranapple juice - [tex]2\dfrac{1}{2}[/tex] parts
Lemonade - [tex]3\dfrac{1}{2}[/tex] parts
Total - [tex]2\dfrac{1}{2}+3\dfrac{1}{2}=(2+3)+\dfrac{1}{2}+\dfrac{1}{2}=5+\dfrac{2}{25}=5+1=6[/tex] parts
Ratio
[tex]\dfrac{\text{parts of lemonade}}{\text{total parts}}=\dfrac{3\frac{1}{2}}{6}=\dfrac{\frac{7}{2}}{6}=\dfrac{7}{12}[/tex]
Now,
[tex]\dfrac{9}{20}=\dfrac{54}{120}\\ \\\dfrac{7}{12}=\dfrac{70}{120}[/tex]
Since [tex]\dfrac{70}{120}>\dfrac{54}{120}[/tex] Parker's lemonade has stronger lemonade taste
