Question

troy and his sister caitlin can earn money by choosing to do chores around the house . last month caitlin earned $5 more than twice what troy earned. if the sum of their earnings was $80 how much did caitlin earn that month

Answer 1

Answer:

Lets solve this algebraically

25 is what troy has.

Caitlin has $55

Step-by-step explanation:

x+2x+5=80 3x=75 x=25

Answer 2

Answer:

Caitlin equals 55

Step-by-step explanation:

t= the money troy earned

c =money caitlin earned

The sum of their earnings was 80

t+c = 80

last month caitlin earned $5 more than twice what troy earned

c = 2t+5

We have 2 equations and 2 unknowns

Substitute the second equation into the first

t+c= 80

t+2t+5 = 80

Combine like terms

3t+5 = 80

Subtract 5 from each side

3t+5-5 = 80-5

3t = 75

Divide by 3

3t/3 = 75/3

t =25

Now we need to calculate c

c = 2(25)+5

c = 50 +5

c =55