Two friends, Anita and Candice, 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. Anita's hair is already 26 centimeters long and grows at a constant rate of 1 centimeter per month. Candice's hair is 16 centimeters and growing at a speed of 2 centimeters 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? How long will that take?
Question
Two friends, Anita and Candice, 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. Anita's hair is already 26 centimeters long and grows at a constant rate of 1 centimeter per month. Candice's hair is 16 centimeters and growing at a speed of 2 centimeters 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? How long will that take?
Solution
To solve this problem, we need to set up an equation where the length of Anita's hair equals the length of Candice's hair.
We know that Anita's hair is already 26 centimeters long and grows at a rate of 1 centimeter per month. So, the length of Anita's hair after x months can be represented as 26 + x.
On the other hand, Candice's hair is 16 centimeters long and grows at a rate of 2 centimeters per month. So, the length of Candice's hair after x months can be represented as 16 + 2x.
Setting these two equations equal to each other gives us:
26 + x = 16 + 2x
Solving for x, we subtract x from both sides to get:
26 = 16 + x
Then, subtract 16 from both sides to solve for x:
x = 10
So, it will take 10 months for both girls to have hair of the same length to donate.
To find out how long their hair will be, we can substitute x = 10 into either of the original equations. Let's use Anita's:
Length = 26 + x Length = 26 + 10 Length = 36
So, both girls will have 36 centimeters of hair to donate after 10 months.
Similar Questions
Q6: Suppose your hair grows at the rate 1/32 in per day. What is the rate at which it grows in nanometers per second? [1 in = 2.54 cm, 1 d = 86 400 s, and 109 nm = 1 m] (a) 92.0 nm/s (b) 91.9 nm/s (c) 9.2 nm/s (d) 91.0 nm/s (e) 919.0 nm/s Q7: The JCR of a student hostel is 50.0 ft long and 26 ft wide and has 8.0-ft high ceilings. What is the volume of the interior of the room in cubic centimeters? [1 ft = 0.304 8 m]. (a) 2.94 × 103 cm3 (b) 3.17 × 103 cm3 (c) 2.94 × 108 cm3 (d) 2.9 × 108 cm3 (e) 2.98 × 108 cm3 4
25% of the girls in a school have long hair.If 75 of the girls in the school have long hair, find the total number of girls in the school.
Mandy is 6×1016×1016×10 1 inches tall. An average human hair is 3×10−33×10−33×10 −3 inches thick. About how many times taller is Mandy than a human hair?
The diameter of a human hair is meters. The diameter of a spider's silk is meters.How much greater is the diameter of a human hair than the diameter of a spider's silk?Write your answer in scientific notation.
Dana went to the local salon to get a haircut. The cost was $38. Dana tipped the hair stylist 20%. What was the total cost of the haircut including the tip? Round to the nearest cent.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.