PSLE Min and Wesley bought pillows at the prices shown below.
3 Large pillows for $10
5 Small pillows for $6
- Min bought an equal number of large and small pillows. She spent $128 more on the large ones. How many pillows did she buy altogether?
- Wesley spent an equal amount of money on the large and small pillows. What fraction of the pillows he bought were large?
(a)
Number of large and small pillows that Min bought is the same. Make the number of large and small pillows the same. LCM of 3 and 5 is 15.
Cost of 3 large pillows = $10
Cost of 15 large pillows = 5 x 10 = $50
Cost of 5 small pillows = $6
Cost of 15 small pillows = 3 x 6 = $18
Difference in the cost of buying 15 small pillows and 15 large pillows
= 50 - 18
= $32
Number of sets of pillows
= 128 ÷ 32
= 4
Number of pillows that Min bought
= 4 x 2 x 15
= 120
(b)
Wesley spent an equal amount of money on the large and small pillows. Make the amount of money spent on the large and small pillows the same.
LCM of 10 and 6 is 30.
Number of large pillows that Wesley bought
= 3 x (30 ÷ 10)
= 3 x 3
= 9
Number of the small pillows that Wesley bought
= 5 x (30 ÷ 6)
= 5 x 5
= 25
Fraction of the pillows that Wesley bought that were large
=
99 + 25 =
934 Answer(s): (a) 120; (b)
934