Question

PLEASE HELP! A zoo feeds it’s monkeys a mixture of fruits and vegetables. The ratio of fruits and vegetable is shown in the diagram.

Answer 1

Answer with explanation:

From the given picture , it can be seen that the ratio of the fruits to the vegetables is 5:7

Let x be the number of vegetables corresponds 30 fruits for Monkey A.

Then , by using proportional relationships between fruits and vegetables , we have :-

`(x)/(30)=(7)/(5)\\\\\Rightarrow\ x=(30*7)/(5)=42`

So, the number of vegetables for Monkey A = 42

Let y be the number of vegetables corresponds 70 vegetables for Monkey B.

Then , we have :-

`(y)/(70)=(5)/(7)\\\\\Rightarrow\ x=(70*5)/(7)=50`

So, the number of fruits for Monkey B = 50

Answer 2

Part 1) Monkey A
`42\ vegetables`

Part 2) Monkey B
`50\ fruits`

Explanation:

Let

x -----> the number of fruits

y ----> the number of vegetables

we know that

The ratio of fruits and vegetables is equal to

`(x)/(y) =(5)/(7)`

Part 1) Find the number of vegetables Monkey A

we know that

`(x)/(y) =(5)/(7)`

`x=30\ fruits`

substitute and solve for y

`(30)/(y) =(5)/(7)`

`y=30*7/5=42\ vegetables`

Part 2) Find the number of fruits Monkey B

we know that

`(x)/(y) =(5)/(7)`

`y=70\ vegetables`

substitute and solve for x

`(x)/(70) =(5)/(7)`

`x=70*5/7=50\ fruits`