Rachel bought some fruits. She spent $20 more than
23 of her money on some lemons. She then spent $6 more than 30% of the remaining money on some pears. Given that she had $22 left,
- How much did Rachel have at first?
- How many kilograms of pears did she buy if they cost $2 per kg?
(a)
100% - 30% = 70%
70% of remaining money
= 22 + 6
= 28
1% of remaining money
= 28 ÷ 70
= 0.4
100% of remaining money
= 100 x 0.4
= 40
13 of total money
= 40 + 20
= $60
33 of total money
= 3 x 60
= $180
Amount that Rachel had at first = $180
(b)
30% of the remaining money
= 40 x 30%
= 40 x
30100 = $12
Amount spent on pears
= 6 + 12
= $18
Weight of pears bought
= 18 ÷ 2
= 9 kg
Answer(s): (a) $180; (b) 6 kg