The ratio of the number of apples to the number of oranges is 5:2 . There are 18 more apples than oranges. If 24 oranges are added, what will be the new ratios of apples to the numbers of orange?

Respuesta :

Answer:

5 : 6

Step-by-step explanation:

The ratio of apples to oranges is 5 : 2 = 5x : 2x ( x is a multiplier )

There are 18 more apples than oranges , that is

5x = 2x + 18 ( subtract 2x from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

There are 5 × 6 = 30 apples and 2 × 6 = 12 oranges

The number of oranges is increased by 24, to 12 + 24 = 36 , then

30 apples : 36 oranges ( divide both parts by 6 )

= 5 : 6