Question

Sophie and Marcos are each saving for new bicycles. So far,
Sophie has $10 saved and can earn $5 per hour walking
dogs. Marcos has $4 saved and can earn $8 per hour at his
family’s nursery.
a. Write an equation for each individual.
b. After how many hours of work will Sophie and Marcos
have saved the same amount?
c. What will that amount be?

Answer 1

a.   Sophie's equation: 10+5a=b

Marcos' equation: 4+8a=b

a=number of hours  b=total needed for bike

b.   a=2 for their totals to be the same.

c.   b=20 for their totals to be the same.

work:

10+5(2) > 10+10 > 20

4+8(2) > 4+16 > 20