Riordan owned two shops selling jewellery. Shop A earned 30% more money than Shop B on Saturday. On Sunday, Shop A lost $203 while Shop B earned another $424. In the end, Shop A contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop A earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop A
(1) |
Shop B
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 812 |
- 203 |
+ 424 |
+ 2120 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Riordan earned from Shop B on Saturday in percentage = 100%
Amount that Riordan earned from Shop A on Saturday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Riordan earned from Shop B
= 1 -
59 =
49(3) = (4)
52 u - 812 = 50 u + 2120
52 u - 50 u = 812 + 2120
2 u = 2932
1 u = 2932 ÷ 2 = 1466
Amount that Riordan earned from Shop A over the two days
= 13 u - 203
= 13 x 1466 - 203
= 19058 - 203
= $18855
Answer(s): $18855
