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marin [14]
3 years ago
12

A fruit stand sells apples, peaches and tomatoes. Today, they sold 4 apples for every 5 peaches. They sold 2 peaches for every 3

tomatoes. They sold 132 pieces of fruit in total. How many of each fruit did they sell?
Mathematics
1 answer:
Brrunno [24]3 years ago
7 0

Answer:

He sold 32 apples, 40 peaches and 60 apples.

Step-by-step explanation:

We are given that

4 apples are sold every 5 peaches and

3 tomatoes are sold every 2 peaches.

i.e. the ratio is apples: peaches = 4 : 5     ...... (1)

and the ratio peaches: tomatoes = 2 : 3   ...... (2)

Peaches are the common link here in both the ratio terms.

Let us make the peaches value in both the <em>ratio as 10 </em>to make it equal in both the ratio terms.

Multiply (1) by 2 and (2) by 5:

The ratio becomes;

apples:peaches = 8:10

peaches: tomatoes = 10:15

In other words, the ratio becomes:

apples:peaches:tomatoes = 8:10:15

Let the number of apples = 8x

Let the number of peaches = 10x\\

Let the number of tomatoes = 15x

We are given that total fruits are = 132

\Rightarrow 8x+10x+15x = 132\\\Rightarrow 33x = 132\\\Rightarrow x =4\\

So, number of apples sold = 8 \times 4 = 32

Number of peaches sold = 10 \times 4 = 40

Number of tomatoes sold = 15 \times 4 = 60

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