write the ratio from strawberries to melons
[tex]3\colon4[/tex]according to this means that for every 4 cups of melons Valerie should add 3 cups of strawberries
write 14 as a product of 4
[tex]\begin{gathered} 14=12+2 \\ 14=(3\cdot4)+2 \end{gathered}[/tex]From this we can see that she used 3 whole 4 cups of melons for which she is going to require 9 cups of strawberries, she also used 2 additional cups of melons for which she will need 1.5 additional cups.
[tex]9+1.5=10.5\text{cups}[/tex]check if answer is correct
[tex]\begin{gathered} 3\colon4=\frac{3}{4}=0.75 \\ 10.5\colon14=\frac{10.5}{14}=0.75 \end{gathered}[/tex]She will need 10 cups and a half cups of strawberries.
