waecmaths question:
Five bottles of Fanta and two packets of biscuits cost Gh¢ 6.00. Three bottles of Fanta and four packets of biscuits cost Gh¢ 5.00. Find the cost of a bottle of Fanta.
Option A:
Gh¢ 0.50
Option B:
Gh¢ 1.00
Option C:
Gh¢ 1.50
Option D:
Gh¢ 5.00
waecmaths solution:
$\begin{align} & 5f+2b=6---(i) \\ & 3f+4b=5---(ii) \\ & Multiply\text{ }(i)\text{ by }2 \\ & 10f+4b=12---(iii) \\ & \text{Subtract (ii) from (iii)} \\ & 7f=7 \\ & f=1 \\ & \text{Substitute }1\text{ for }f\text{ in (i)} \\ & 5(1)+2b=6 \\ & 2b=1 \\ & b=0.5 \\ & \text{The cost of one bootle of fanta is }Gh\not{c}1.00 \\\end{align}$
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