Ivan owned two shops selling watches. Shop N earned 50% more money than Shop P on Saturday. On Sunday, Shop N lost $360 while Shop P earned another $174. In the end, Shop N contributed to 311 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)x8 = (3) |
N
(1) |
P
(2) |
Make p the same
(2)x3 = (4) |
| Before |
24 u |
3 u |
2 u |
6 u |
| Change |
- 2880 |
- 360 |
+ 174 |
+ 522 |
| After |
24 p |
3 p |
8 p |
24 p |
Amount that Ivan earned from Shop P on Saturday in percentage = 100%
Amount that Ivan earned from Shop N on Saturday in percentage
= 100% + 50%
= 150%
150% =
150100 =
32 Fraction of the total earnings that Ivan earned from Shop P
= 1 -
311 =
811(3) = (4)
24 u - 2880 = 6 u + 522
24 u - 6 u = 2880 + 522
18 u = 3402
1 u = 3402 ÷ 18 = 189
Amount that Ivan earned from Shop N over the two days
= 3 u - 360
= 3 x 189 - 360
= 567 - 360
= $207
Answer(s): $207
