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?

120 peas did Julia have to start with

Step-by-step 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