Question

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

Answer 1

✺ 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}\: \: 7`hrs

= 7 hours

He must work 7 hours to get $91.

`\ {\rule{50mm}{3pt}}`

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}}`

Answer 2

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.