Eric had $190 less than Ethan. If Ethan spends $170 and Eric's mother gave Eric $890, Ethan will have
16 as much money as Eric. How much money did Eric and Ethan have?
| |
Make p the same
(1)x6 = (3) |
Eric
(1) |
Ethan
(2) |
| Before |
6 u |
1 u |
1 u + 190 |
| Change |
- 1020 |
- 170 |
+ 890 |
| After |
6 p |
1 p |
6 p |
Since Eric had $190 less than Ethan, this means Ethan had $190 more than Eric.
1 u - 170 = 1 p --- (1)
1 u + 190 + 890 = 6 p
1 u + 1080 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 1020 =
6 p --- (3)
(3) = (2)
6 u - 1020 = 1 u + 1080
6 u - 1 u = 1080 + 1020
5 u = 2100
1 u = 2100 ÷ 5 = 420
Total amount that Eric and Ethan had
= 1 u + 1 u + 190
= 2 u + 190
= 2 x 420 + 190
= 840 + 190
= $1030
Answer(s): $1030
