PSLE Winnie and Valen bought paintings at the prices shown below.
4 Large paintings for $18
5 Small paintings for $12
- Winnie bought an equal number of large and small paintings. She spent $84 more on the large ones. How many paintings did she buy altogether?
- Valen spent an equal amount of money on the large and small paintings. What fraction of the paintings he bought were large?
(a)
Number of large and small paintings that Winnie bought is the same. Make the number of large and small paintings the same. LCM of 4 and 5 is 20.
Cost of 4 large paintings = $18
Cost of 20 large paintings = 5 x 18 = $90
Cost of 5 small paintings = $12
Cost of 20 small paintings = 4 x 12 = $48
Difference in the cost of buying 20 small paintings and 20 large paintings
= 90 - 48
= $42
Number of sets of paintings
= 84 ÷ 42
= 2
Number of paintings that Winnie bought
= 2 x 2 x 20
= 80
(b)
Valen spent an equal amount of money on the large and small paintings. Make the amount of money spent on the large and small paintings the same.
LCM of 18 and 12 is 36.
Number of large paintings that Valen bought
= 4 x (36 ÷ 18)
= 4 x 2
= 8
Number of the small paintings that Valen bought
= 5 x (36 ÷ 12)
= 5 x 3
= 15
Fraction of the paintings that Valen bought that were large
=
88 + 15 =
823 Answer(s): (a) 80; (b)
823