BECE Mathematics 2024 Paper

Method I
The sum of ratios represent the total amount shared
The difference (larger ratio - smaller ratio) represents how much more
Zalia : Amina =2:5
Sum of ratios =2+5=7
Difference of ratios =5−2=3
Amina had 150 more than Zalia.
If 3=150
7=‌

7×150

3

=7×50=350
Total amount shared = GH₵ 350
Method II
Let x= Zalia's share
Amina had GH₵ 150.00 more than Zalia
Amina's share = Zalia's share + GH₵ 150
Amina's share =x+150
Zalia share: Amina share =2:5
x:x+150=2:5
Change the ratios to fractions.
‌

x

x+150

=‌

2

5

Cross multiply
‌5xx=2×(x+150)
‌5x=2x+300
‌5x−2x=300
‌3x=300
Divide both sides by 3
‌x=‌

300

3

‌x=100
∴ Zalia's share = GH₵ 100.00
Amina's share = Zalia's share + GH₵ 150.00
Amina's share =GH‌₵‌100.00+GH‌₵‌150.00
Total amount shared = Zalia's share + Amina's share
Total amount shared = GH₵ 100.00+ GH₵ 250.00
Total amount shared =GH‌₵‌350