Question

3. Ruby and Sapphire love strawberries. Ruby starts out with 10 strawberries and finds 3 more

every minute. Sapphire starts out with 30 strawberries and eats 2 every minute. How long will it
take for them to have the same number of strawberries?

PLEASE HELP ME. AND SHOW YOUR WORK. PLEASE IM DYING.

Answer 1

4 minutes

Explanation:

Let the time taken for them to have the same number of strawberries be x minutes.

Initially

Ruby: 10 strawberries

Sapphire: 30 strawberries

After x minutes

Ruby: (10 +3x) strawberries

Sapphire: (30 -2x) strawberries

Since we let x minutes be the amount of time that has passed when they have the same amount of strawberries,

10 +3x= 30 -2x

Bring all x terms to one side, constant to the other:

3x +2x= 30 -10

Simplify:

5x= 20

Divide both sides by 5:

x= 20 ÷5

x= 4

∴ It will take 4 minutes.