3 Fred is making a fruit salad. The ratio
of cups of peaches to cups of cherries
is 2 to 3. How many cups of peaches
will Fred need to make 60 cups of
fruit salad?​

Respuesta :

Answer: 24 cups.

Step-by-step explanation:

Let be "x" the amount of cups of peaches  that Fred will need to make 60 cups of  fruit salad.

According to the information given in the exercise, you know that the ratio of cups of peaches to cups of cherries is the one shown below:

[tex]2:3[/tex]

Which can also be written as a fraction:

[tex]\frac{2}{3}[/tex]

Then, if he uses 2 cups of peaches and 3 cups of cherries, he will get 5 cups of fruit salad.

Knowing the above, you can set up the following proportion:

[tex]\frac{2}{5}=\frac{x}{60}[/tex]

Now you must solve for "x" in order to find its value. This is:

[tex](60)(\frac{2}{5})=x\\\\x=24[/tex]

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