Kofi spent three-fifth of his pocket money to buy food, he also bought some sweets equal to one-third the remaining money after buying food. His lorry fare back home is half what still remains. If he spent GHC 3.00 on sweets, calculate (a) the amount he spent on food. (b)His lorry fare back home. (c) His total pocket money.
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a.=13.5 GHC
b.12 GHC
c.22.5 GHC
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Let Kofi had X rs.
money spent on food = X×3/5= 3X/5
Remaining( 1) = X- 3X/5 =2X/5
Money spent on sweets = 2X/5 ×1/3
= 2X/15
Remaining (2) = 2X/5 - 2X/15
= 4X/15
lorry fare = 4X/15 ×1/2 = 2X/15
2X/15 = 3
2X=45
X= 22.5
ATQ
a) food = 3X/5 = 67.5/5 = 13.5 GHC
b)Lorryfare = 2X/15 = 3 GHC
b) total pocket mone = 22.5 GHC
money spent on food = X×3/5= 3X/5
Remaining( 1) = X- 3X/5 =2X/5
Money spent on sweets = 2X/5 ×1/3
= 2X/15
Remaining (2) = 2X/5 - 2X/15
= 4X/15
lorry fare = 4X/15 ×1/2 = 2X/15
2X/15 = 3
2X=45
X= 22.5
ATQ
a) food = 3X/5 = 67.5/5 = 13.5 GHC
b)Lorryfare = 2X/15 = 3 GHC
b) total pocket mone = 22.5 GHC
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