Answer:
He have <u>42</u> oranges and <u>7</u> mangoes.
The correct answer is <u>7 mangoes and 42 oranges</u>.
Step-by-step explanation:
Given:
Renaldo has six times as many oranges as mangoes. He has 49 pieces of fruit in all. Let r represent the number of oranges and m represent the number of mangoes.
Now to find the number of each fruit Renaldo have.
As, given:
Let
represent the number of oranges and
represent the number of mangoes.
So, as he has six times as many oranges as mangoes.
Thus,
..........( 1 )
Total number of fruits = 49.
According to question:
![m+r=49](https://tex.z-dn.net/?f=m%2Br%3D49)
Substituting the value of
from equation (1) we get:
![m+6m=49](https://tex.z-dn.net/?f=m%2B6m%3D49)
![7m=49](https://tex.z-dn.net/?f=7m%3D49)
<em>Dividing both sides by 7 we get:</em>
![m=7.](https://tex.z-dn.net/?f=m%3D7.)
<em>Number of mangoes = 7.</em>
Now, to get the number of oranges we put the value of
in equation (1):
![r=6m](https://tex.z-dn.net/?f=r%3D6m)
![r=6\times 7](https://tex.z-dn.net/?f=r%3D6%5Ctimes%207)
![r=42.](https://tex.z-dn.net/?f=r%3D42.)
<em>The number of oranges = 42.</em>
Therefore, he have 42 oranges and 7 mangoes.
The correct answer is 7 mangoes and 42 oranges.