Write a system of equations to match each of these problems. Then solve the equations using the method... Substitution, or linear combinations.

Question

1. Maria started her savings account with $105. She adds $10 to it each month, including the first month. Jana Rae started her account with $0. She adds $25 to it each month. After how many months will the girls have the same amound in their accounts? How much will they have?

2. The video store has a basic charge for a 3-day rental and a different per-day late fee. Nate was one day late and paid $5.50 in all for his video. Gina was four days late and paid $10.00 in all for her video. What is the Basic Fee and the Per-Day Late Fee that the store charges?

Answer 1

just write each sentence in symbols, then solve the equations.

#1
Maria has 105+10m
Jana has 0 + 25m
So, we want

105+10m = 0 + 25m
Now just solve for m and then the amounts

#2
There's a rental rate of r, and a late fee of f, so
Nate: r + 1f = 5.50
Gina: r + 4f = 10.00
Now just solve for r and f

Now just

Answer 2

A real story of her savings account with $105 she adds $10 to each month including the first generation started her account with zero dollars she adds $25 to eight each month after how many months will the girls have the same amount in the account how much will they have