Valen had $100 less than Simon. If Simon spends $120 and Valen's mother gave Valen $1230, Simon will have
16 as much money as Valen. How much money did Valen and Simon have?
| |
Make p the same
(1)x6 = (3) |
Valen
(1) |
Simon
(2) |
| Before |
6 u |
1 u |
1 u + 100 |
| Change |
- 720 |
- 120 |
+ 1230 |
| After |
6 p |
1 p |
6 p |
Since Valen had $100 less than Simon, this means Simon had $100 more than Valen.
1 u - 120 = 1 p --- (1)
1 u + 100 + 1230 = 6 p
1 u + 1330 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 720 =
6 p --- (3)
(3) = (2)
6 u - 720 = 1 u + 1330
6 u - 1 u = 1330 + 720
5 u = 2050
1 u = 2050 ÷ 5 = 410
Total amount that Valen and Simon had
= 1 u + 1 u + 100
= 2 u + 100
= 2 x 410 + 100
= 820 + 100
= $920
Answer(s): $920
