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Two friends, Emma and Alice, are growing out their hair. They plan to cut it off at a certain point and donate it to a charity that makes wigs for people with cancer. Emma's hair is already 10 centimeters long and grows at a constant rate of 2 centimeters per month. Alice's hair is 30 centimeters and growing at a speed of 1 centimeter per month. If the girls get their hair cut on a certain day, they will have exactly the same length to donate. How long will their hair be?

User Boric
by
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1 Answer

6 votes

Answer:

50 cm

Explanation:

Let

x = number of months

Emma = 10 + 2x

Alice = 30 + x

Equate the equation of both girls

10 + 2x = 30 + x

10 - 30 = x - 2x

-20 = - x

x = 20

How long will their hair be?

Emma = 10 + 2x

= 10 + 2(20)

= 10 + 40

= 50cm

Alice = 30 + x

= 30 + 20

= 50 cm

User Kevin Kokomani
by
3.5k points