Question

Akhila went to a fair in her village. She wanted to enjoy rides on the Giant Wheel and play Hoopla (a game in which you throw a ring on the items kept in the stall, and if the ring covers any object completely you get it). The number of times she played Hoopla half the number of rides she had on the Giant Wheel. Each ride costs $Rs.3$, and a game Hoopla costs $Rs.4$. If she spent $Rs.20$ in the fair, represent this situation algebraically .

Answer 1

Let number of times she played =y

And number of rides she had on giant wheel =x

Given $y=\frac{x}{2}$

$\Rightarrow x-2y=0$ $\to$equation (1)

Also given that each ride costs 3 rs and a game hoopla costs 4rs. She spent total 20 rs

$\Rightarrow 3x+4y=20$ $\to$equation (2)

Multiplying equation (1) by 3 and subtract it from equation (2)

$\Rightarrow 10y=20$

$\Rightarrow y=2$ and $x=4$

$\Rightarrow$ number of times she played $=2$

And number of rides she had on giant wheel $=4$