Question

In a parking lot, parking charges for 15 cars and 7 scooters is Rs. 33.50 and parking charges for 10 cars and 3 scooters is Rs. 21.50. Find the parking charges for a car and a scooter

Answer 1

Answer:

$\huge\star \underline{ \boxed{ \purple{Answer}}}\star$

$\sf\red{Charges\:per\:car\:is\:=\:Rs.\:2}$

&

$\sf\green{Charges\:per\:scooter\:is\:=\:Rs.\:0.50}$

Step-by-step explanation:

Given :-

$\sf{parking\:charges\:for\:15\:cars\:and\:7\:scooter\:is}$

$\sf\pink{=\:Rs.\:33.50 }$

$\sf{parking\:charges\:for\:10\:cars\:and\:3\:scooters\:is }$

$\sf\pink{=\:Rs.\:21.50 }$

To find :-

$\sf{parking\:charges\:for\:a\:car\:and\:a\:scöoter}$

Solution :-

Let the charges per car be $x$.

&

Let the charges per scooter be $y$.

So,

➝$\sf{15x\:+\:7y\:=\:33.50\:,.,.,.,.,.,eq^n\:(i)}$

➝$\sf{10x\:+\:3y\:=\:21.50\:,.,.,.,.,.,.eq^n\:(ii)}$

$\sf\green{By\:Applying\:elimination\:method}$

➝$\sf{30x\:+\:14y\:=\:67\:,.,.,.,.,.,.,.eq^n\:(iii)}$

➝$\sf{30x\:+\:9y\:=\:64.50\:,.,.,.,.,.,eq^n\:(iv)}$

$\sf\green{We\:get,}$

➝$\sf{5y\:=\:2.50}$

➝$\sf{y\:=\:\frac{2.50}{5}}$

➝$\sf\boxed{y\:=\:0.50}$

$\sf\green{Putting\:value\:of\:y\:in\:eq^n\:(ii)}$

➝$\sf{10x\:+\:3(\:0.50\:)\:=\:21.50}$

➝$\sf{10x\:+\:1.50\:=\:21.50}$

➝$\sf{10x\:=\:21.50\:-\:1.50}$

➝$\sf{10x\:=\:20}$

➝$\sf{x\:=\:\frac{20}{10}}$

➝$\sf\boxed{x\:=\:2}$

$\huge\sf\pink{Hence,}$

➝$\sf\red{Charges\:per\:car\:is\:=\:Rs.\:2}$

&

➝$\sf\green{Charges\:per\:scooter\:is\:=\:Rs.\:0.50}$

$\huge\mathfrak\blue{Hope \: it \: helps \: you}$

$\huge\mathfrak\blue{friend}$