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primary 6 | Maths
| Ratio
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Q15
5 apples and 3 oranges cost $2.70 altogether. 2 apples and 4 oranges cost $2.20 altogether. How much does a dozen apples cost?
Q16
A pair of pants cost $12 more than a shirt. Ian paid $204 for 3 pairs of pants and 4 shirts. How much did each shirt cost?
Q17
A school bus can either seat 45 children or 30 adults. Given that there are already 24 children and 8 adults seated in the bus, what is the maximum number of additional adults that can be seated in the bus?
5 apples and 3 oranges cost $2.70 altogether. 2 apples and 4 oranges cost $2.20 altogether. How much does a dozen apples cost?
method 1
5 a + 3 o = 2.70
2 a + 4 o = 2.20
make a the same no.
10 a + 6 o = 5.40
10 a + 20 o = 11.00
so
10 a + 20 o - 10 a - 6 o = 11.00 - 5.40
14 o = 5.60
1 o = 0.40
and
2 a + 4 o = 2.20
2 a + 1.60 = 2.20
2 a = 0.60
1 a = 0.30
12 a = 0.30 x 12 = $3.60
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method 2
5 a + 3 o = 2.70
2 a + 4 o = 2.20
make o the same no.
20 a + 12 o = 10.80
6 a + 12 o = 6.60
so
20 a + 12 o - 6 a - 12 o = 10.80 - 6.60
14 a = 4.20
1 a = 4.20/14 = 0.30
12 a = $3.60
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