Question

Polly and Esther are saving for a trip. Polly starts with $350 and saves $15per week. Esther starts with $200 and saves $25 per week. When will theyhave the same amount saved?

Answer 1

Polly and Esther are saving for a trip. Polly starts with $350 and saves $15

per week. Esther starts with $200 and saves $25 per week. When will they

have the same amount saved?

Let

x ------> number of weeks

y -----> total amout saved

we have

Polly's linear equation

y=15x+350 ------> equation 1

Esther's linear equation

y=25x+200 -------> equation 2

equate both equations

15x+350=25x+200

solve for x

25x-15x=350-200

10x=150

x=15 weeks

therefore

answer is

15 weeks