PSLE Gem and Lee bought paintings at the prices shown below.
4 Large paintings for $12
7 Small paintings for $8
- Gem bought an equal number of large and small paintings. She spent $104 more on the large ones. How many paintings did she buy altogether?
- Lee spent an equal amount of money on the large and small paintings. What fraction of the paintings he bought were small?
(a)
Number of large and small paintings that Gem bought is the same. Make the number of large and small paintings the same. LCM of 4 and 7 is 28.
Cost of 4 large paintings = $12
Cost of 28 large paintings = 7 x 12 = $84
Cost of 7 small paintings = $8
Cost of 28 small paintings = 4 x 8 = $32
Difference in the cost of buying 28 small paintings and 28 large paintings
= 84 - 32
= $52
Number of sets of paintings
= 104 ÷ 52
= 2
Number of paintings that Gem bought
= 2 x 2 x 28
= 112
(b)
Lee 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 12 and 8 is 24.
Number of large paintings that Lee bought
= 4 x (24 ÷ 12)
= 4 x 2
= 8
Number of the small paintings that Lee bought
= 7 x (24 ÷ 8)
= 7 x 3
= 21
Fraction of the paintings that Lee bought that were small
=
218 + 21 =
2129 Answer(s): (a) 112; (b)
2129