Luis owned two shops selling eyewear. Shop N earned 50% more money than Shop P on Saturday. On Sunday, Shop N lost $362 while Shop P earned another $247. In the end, Shop N contributed to 25 of the total earnings of the two shops over the two days operation. How much did Shop N earn over the two days?
| |
Make p the same
(1)x3 = (3) |
N
(1) |
P
(2) |
Make p the same
(2)x2 = (4) |
| Before |
9 u |
3 u |
2 u |
4 u |
| Change |
- 1086 |
- 362 |
+ 247 |
+ 494 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Luis earned from Shop P on Saturday in percentage = 100%
Amount that Luis earned from Shop N on Saturday in percentage
= 100% + 50%
= 150%
150% =
150100 =
32 Fraction of the total earnings that Luis earned from Shop P
= 1 -
25 =
35(3) = (4)
9 u - 1086 = 4 u + 494
9 u - 4 u = 1086 + 494
5 u = 1580
1 u = 1580 ÷ 5 = 316
Amount that Luis earned from Shop N over the two days
= 3 u - 362
= 3 x 316 - 362
= 948 - 362
= $586
Answer(s): $586
