Jackon i working two ummer job, making $10 per hour wahing car and $12 per hour landcaping. Lat week Jackon worked a total of 14 hour and earned a total of $152. Determine the number of hour Jackon worked wahing car lat week and the number of hour he worked landcaping lat week



Answer :

The number of hour Jackon worked washing car last week = 8 hours and no . of hours he spent on landcaping = 6 hours .

Let x be no . of hours spent washing car and y be no . of hours spent in landcaping .

According to question ,

x + y = 14                         ....... eqn ( 1 )

( 10 * x ) + ( 12 * y ) = 152

10 x + 12 y = 152                     ...... eqn ( 2 )

Solving linear eqn in 2 variable

Mult . eqn ( 1 ) by 10 ,

10 x + 10 y = 140                           ....... eqn ( 3 )

Subtracting eqn ( 2 ) from eqn ( 3 ) we get ,

( 10 x + 10 y ) - ( 10 x + 12 y ) = 140 - 152

- 2 y = - 12

y = 6

Substituting value of y in eqn ( 1 )

x = 8

Hence , the no . of hour Jackon worked washing car last week = 8 hours and no . of hours he spent on landcaping = 6 hours .

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