Question

Joshua is saving money. He started with $250 and is saving $25 each

month. This table shows Fernando's savings.

Number of

I

Months Total Savings

1 $215

2 $255

3 $295

4 $335

How many months will it take before Fernando's savings is greater than

Joshua's savings?

A 4

B5

C6

D7

Answer 1

After Joshua saves for m months, he will have saved:

250 + 25m dollars

After Fernando saves for m months, he will have saved:

215 + 40m dollars (since he saves 40 dollars more than Joshua per month)

We want to find the value of m for which:

215 + 40m > 250 + 25m

Simplifying:

15m > 35

m > 35/15

m > 7/3

Since m must be a whole number of months, the smallest integer value of m that satisfies this inequality is 3 + 1 = 4. So, after 4 months, Fernando's savings will be greater than Joshua's.

Therefore, the answer is A) 4.