Bryan owned two shops selling carpets. Shop R earned 40% more money than Shop S on Monday. On Tuesday, Shop R lost $274 while Shop S earned another $315. In the end, Shop R contributed to 25 of the total earnings of the two shops over the two days operation. How much did Shop R earn over the two days?
| |
Make p the same
(1)x3 = (3) |
Shop R
(1) |
Shop S
(2) |
Make p the same
(2)x2 = (4) |
| Before |
21 u |
7 u |
5 u |
10 u |
| Change |
- 822 |
- 274 |
+ 315 |
+ 630 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Bryan earned from Shop S on Monday in percentage = 100%
Amount that Bryan earned from Shop R on Monday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Bryan earned from Shop S
= 1 -
25 =
35(3) = (4)
21 u - 822 = 10 u + 630
21 u - 10 u = 822 + 630
11 u = 1452
1 u = 1452 ÷ 11 = 132
Amount that Bryan earned from Shop R over the two days
= 7 u - 274
= 7 x 132 - 274
= 924 - 274
= $650
Answer(s): $650
