Pedro has twice as many carrots as Martha, who has the same number of carrots as Oliver. If Pedro gives 5 carrots to Oliver, then Martha has 3 times as many carrots as Pedro. How many carrots does Martha have?

a) 10

b) 6

c) 3

d) 2

K) 1

"Pedro has twice as many carrots as Martha:"

p = 2m

"If Pedro gives 5 carrots to Oliver,"

p - 5 (Oliver is irrelevant.)

"then Martha has 3 times as many carrots as Pedro"

m = 3 (p - 5)

We know p in terms of m, so substitute it in:

m = 3 (2m - 5)

Distribute the 3:

m = 6m - 15

Subtract 6m from both sides:

m-6m=-15

Combine variable terms:

-5m=-15

Divide out - 5

m = - 15/-5

m = 3

The answer is c) 3