14. Mrs Cheng bought a bag and a pair of shoes at a discount. She spent a total of $57.60 on these two items. She spent $9.60 more on the shoes than on the bag.
(a) How much did she spend on the shoes?
(b) The total discount given for the two items was $22.40. She was given a 25% discount for the bag. What was the percentage discount given for the shoes?
S + B --> $57.60
S - B --> $9.60
2 S --> 57.60 + 9.60 = $67.20
S --> 67.20 / 2 = $33.60
a) She spent $33.60 on the shoes.
B --> 57.60 - 33.60 = $24
75% --> $24
25% --> 25 / 75 x 24 = $8
22.40 - 8 = $14.40
33.60 + 14.40 = $48
14.40 / 48 x 100% = 30%
b) The percentage discount given for the shoes was 30%.
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As appeared in PSLE 2010 exam:
ReplyDeleteMrs Cheng bought a bag and a pair of shoes at a discount. She spent a total of $57.60 on these two items. She spent $9.60 more on the shoes than on the bag.
(a) How much did she spend on the shoes?
(b) The total discount given for the two items was $22.40. She was given a 25% discount for the bag. What was the percentage discount given for the shoes?