Japheth owned two shops selling milk tea. Shop N earned 30% more money than Shop P on Saturday. On Sunday, Shop N lost $380 while Shop P earned another $378. In the end, Shop N contributed to 59 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)x4 = (3) |
Shop N
(1) |
Shop P
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 1520 |
- 380 |
+ 378 |
+ 1890 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Japheth earned from Shop P on Saturday in percentage = 100%
Amount that Japheth earned from Shop N on Saturday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Japheth earned from Shop P
= 1 -
59 =
49(3) = (4)
52 u - 1520 = 50 u + 1890
52 u - 50 u = 1520 + 1890
2 u = 3410
1 u = 3410 ÷ 2 = 1705
Amount that Japheth earned from Shop N over the two days
= 13 u - 380
= 13 x 1705 - 380
= 22165 - 380
= $21785
Answer(s): $21785
