Question
$\frac{\text{x}}{2}=\frac{\text{x}}{3}+1$
✓
Answer
$\frac{\text{x}}{2}=\frac{\text{x}}{3}+1$ Transposing $\frac{\text{x}}{2}$ to $L.H.S.,$
we get $\frac{\text{x}}{2}-\frac{\text{x}}{3}=1$
$\frac{\text{3x}-2\text{x}}{6}=1$
$\frac{\text{x}}{6}=1$ Multiplying both sides by $6,$
we get $\frac{\text{x}}{6}\times6=1\times6$
$\text{x}=6$ Verification: Substituting $x = 6$ in the given equation,
we get $\frac{6}{6}=\frac63+1$
$3=2+1$
$3=3$
$\text{L.H.S.}=\text{R.H.S.}$ Hence, verified.
we get $\frac{\text{x}}{2}-\frac{\text{x}}{3}=1$
$\frac{\text{3x}-2\text{x}}{6}=1$
$\frac{\text{x}}{6}=1$ Multiplying both sides by $6,$
we get $\frac{\text{x}}{6}\times6=1\times6$
$\text{x}=6$ Verification: Substituting $x = 6$ in the given equation,
we get $\frac{6}{6}=\frac63+1$
$3=2+1$
$3=3$
$\text{L.H.S.}=\text{R.H.S.}$ Hence, verified.
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Rita is organising a school fair. She is in charge of budgeting for various stalls. She notes the following expenses :
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→ She plans to have 4 food stalls and 3 game stalls.
There is a fixed decoration cost of ₹ 500.
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(c) If the cost of each food stall is ₹200 and each game stall is ₹ 150, what will be the total cost?