Question

Suppose you receive an allowance of $70 and your friend receives an allowance of $54 at the beginning of

the month. If you spend $5 a day and your friend spends $3 a day, after how many days will you and your
friend have the same amount of money?

Answer 1

8 days

Explanation:

x=days

70 - 5x = 54 - 3x

-54 +5

16 = 2x

8 = x

Check:

you friend

70 - 5 x 8 = 30 | 54 - 3 x 8 = 30

70 - 40 = 30 | 54 - 24 = 30

30 = 30 | 30 = 30

Answer 2

after 9 days

Explanation:

day 1

you: 70

friend: 54

day 2

you: 65

friend: 51

day 3

you: 60

friend: 48

day 4

you: 55

friend: 45

day 5

you: 50

friend: 42

day 6

you: 45

friend: 39

day 7

you: 40

friend: 36

day 8

you: 35

friend: 33

day 9

you: 30

friend: 30