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Method 1 :
(a)
120 – 48 = 72
0.30 + 0.90 = 1.20
72/1.20 = 60
(b)
120/60 = 2

Method 2 :
(a)
Jonathan —
daily allowance : 1u
daily savings : 1p + 0.90
daily spending : 1u – 1p – 0.90

Sarah –
daily allowance : 1u + 0.30
daily savings : 1p
daily spending : 1u + 0.30 – 1p

1u + 0.30 – 1p – (1u – 1p – 0.90) = 1.20 (amount Sarah spent more than Jonathan each day)
120 – 48 = 72
72/1.20 = 60

(b)
120/60 = 2
or
120/(1u + 0.30 – 1p) = 48/(1u – 1p – 0.90)
120u – 120p – 108 ——- 48u + 14.40 – 48p
72u – 72p ——- 122.40
1u – 1p ——- 1.70
1.70 + 0.30 = 2

Ans : (a) 60 days; (b) $2.

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