Riordan owned two shops selling handbags. Shop C earned 30% more money than Shop D on Saturday. On Sunday, Shop C lost $203 while Shop D earned another $350. In the end, Shop C contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop C earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop C
(1) |
Shop D
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 812 |
- 203 |
+ 350 |
+ 1750 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Riordan earned from Shop D on Saturday in percentage = 100%
Amount that Riordan earned from Shop C on Saturday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Riordan earned from Shop D
= 1 -
59 =
49(3) = (4)
52 u - 812 = 50 u + 1750
52 u - 50 u = 812 + 1750
2 u = 2562
1 u = 2562 ÷ 2 = 1281
Amount that Riordan earned from Shop C over the two days
= 13 u - 203
= 13 x 1281 - 203
= 16653 - 203
= $16450
Answer(s): $16450
