517,367 views
45 votes
45 votes
Write an equation and solve:

Sandy has $60 and saves $10 a month. Randy has
$45 and saves $20 per month. After how many
months will they have the same amount of
money?

User Snakecharmerb
by
3.1k points

1 Answer

12 votes
12 votes

Answer:

3/2 month

Explanation:

Write an equation and solve: Sandy has $60 and saves $10 a month. Randy has $45 and saves $20 per month. After how many months will they have the same amount of money?

When x = months:

Sandy: 10x + 60

Randy: 20x + 45

You are looking for x when:

Sandy = Randy

10x + 60 = 20x + 45

subtract 45 from both sides:

10x + 60 - 45 = 20x + 45 - 45

10x + 15 = 20x

subtract 10x from both sides:

10x + 15 - 10x = 20x - 10x

15 = 10x

divide both sides by 10:

15/10 = 10x/10

x = 15/10

reduce:

x = 3/2

It will take 3/2 months of Sandy and Randy to have the same amount of money.

[3/2 month also equals 1.5 months, depending on the format of the answer you need]

User Pmr
by
2.9k points