Question

The ratio of Julia’s peas to Vlada’s peas was 3:2. After Julia gave 15 peas to Vlada, she still had 10 more peas than Vlada. How many peas did Julia have to start with?

Answer 1

Julia had 120 peas at the beggining .

Answer 2

120 peas did Julia have to start with

Explanation:

As per the statement: The ratio of Julia’s peas to Vlada’s peas was 3:2

Let the number be x;

Then;

Julia have number of peas to start with= 3x and Vlada's have number of peas start with = 2x

Also, it given that Julia gave 15 peas to Vlada, she still had 10 more peas than Vlada.

⇒ 3x - 15 = 2x + 10 + 15

3x -15 = 2x + 25

Add 15 both sides we get;

3x = 2x + 40

Subtract 2x from both sides we get;

x = 40

Number of peas Julia have = 3x = 3(40) = 120

and

Number of peas Vlada have = 2x = 2(40) = 80

Therefore, Julia have to start with 120 peas