PSLE Zoe and Gabriel bought paintings at the prices shown below.
3 Large paintings for $16
4 Small paintings for $10
- Zoe bought an equal number of large and small paintings. She spent $136 more on the large ones. How many paintings did she buy altogether?
- Gabriel 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 Zoe bought is the same. Make the number of large and small paintings the same. LCM of 3 and 4 is 12.
Cost of 3 large paintings = $16
Cost of 12 large paintings = 4 x 16 = $64
Cost of 4 small paintings = $10
Cost of 12 small paintings = 3 x 10 = $30
Difference in the cost of buying 12 small paintings and 12 large paintings
= 64 - 30
= $34
Number of sets of paintings
= 136 ÷ 34
= 4
Number of paintings that Zoe bought
= 4 x 2 x 12
= 96
(b)
Gabriel 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 16 and 10 is 80.
Number of large paintings that Gabriel bought
= 3 x (80 ÷ 16)
= 3 x 5
= 15
Number of the small paintings that Gabriel bought
= 4 x (80 ÷ 10)
= 4 x 8
= 32
Fraction of the paintings that Gabriel bought that were small
=
3215 + 32 =
3247 Answer(s): (a) 96; (b)
3247