Question

The ratio of the number of apples to the number of bananas is 3:7

The ratio of the number of bananas to the number of oranges is 2:5

There are 84 apples in total.

Work out how many bananas and oranges there are

Answer 1

Answer:

Bananas=196
Oranges=490

Solution :
Create algebraic equations to solve this.
1) (3/7)=(84/x) using cross multiplication we get 3x=(84*7)
2) solving for x, we get 196 bananas.
3) using this information create 2nd equation similar to 1)
4) you should get (2/5)=(196/x)
5) cross multiplying we get (2x)=(196*5)
6) solving for x, we get x=490 oranges

Answer 2

Explanation:

3:7

find the number that 3 multiplies with to get 8 = 28

multiply: 7x28

84:196

find the number that 2 multiplies with to get 196= 98

multiply: 5x98

196:490

There are 196 bananas

There are 490 oranges