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](https://tex.z-dn.net/?f=8x)
Let the number of peaches = ![10x\\](https://tex.z-dn.net/?f=10x%5C%5C)
Let the number of tomatoes = ![15x](https://tex.z-dn.net/?f=15x)
We are given that total fruits are = 132
![\Rightarrow 8x+10x+15x = 132\\\Rightarrow 33x = 132\\\Rightarrow x =4\\](https://tex.z-dn.net/?f=%5CRightarrow%208x%2B10x%2B15x%20%3D%20132%5C%5C%5CRightarrow%2033x%20%3D%20132%5C%5C%5CRightarrow%20x%20%3D4%5C%5C)
So, number of apples sold = ![8 \times 4 = 32](https://tex.z-dn.net/?f=8%20%5Ctimes%204%20%3D%2032)
Number of peaches sold = ![10 \times 4 = 40](https://tex.z-dn.net/?f=10%20%5Ctimes%204%20%3D%2040)
Number of tomatoes sold = ![15 \times 4 = 60](https://tex.z-dn.net/?f=15%20%5Ctimes%204%20%3D%2060)