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Jim made $143 for 11 hours of work at the same rate how many hours would he have to work to make $91

2 Answers

2 votes

Question -

Jim made 143 dollar for 11 hours of work at the same rate how many hours would he have to work to make 91 dollar

Explanation -:

Given:

  • Jim made $143 for 11 hours of work.

To Find:

  • Hours he have to work to make $91.

Solution:

We can solve this question using two methods Unitary Method and Method of proportion.

Unitary Method -

For $143 he work 11 hours

For $1 he work
(11)/(143) hrs

For $91 he works
\frac{\cancel{11}} {\cancel{143}\: \: \cancel{13}} ×
\cancel{91}\: \: 7hrs

= 7 hours

He must work 7 hours to get $91.


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Method of proportion -

He work 'x' hours for $91. (x as no. of hrs)


\left[\begin{array}c \ \bf{Salary} & \bf{Number \: of \: hrs} \\ \sf{143 \: dollar} & \sf{11hrs} \\ \sf{91 \: dollar}& \sf{x}\end{array} \right]

143 : 91 :: 11 : x

Product of mean = Product of extreme

143 × x = 91 × 11

→ x =
(91 × 11)/(143) = 7hrs

He must work 7 hours to get $91.


\ {\rule{90mm}{3pt}}

User Tugrul
by
8.8k points
9 votes

Answer:

Explanation:

The equation is

Salary = 11 * x Where x is the number of hours.

salary = 143

hours = 11

x = ?

143 = 11x Divide both sides by 11

143/11 = 11x/11

13 = x

So to get 143 he works for 13 dollars / hour

salary = 13 * x

salary = 91

13 x = 91

13x/13 = 91/13

x = 7

He must work 7 hours to get 91 dollars.

User Sudipta Deb
by
7.6k points
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