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trapecia [35]
4 years ago
14

jill mowed lawns for 3 hours and earned $7.20 per hour.Then she washed windows for 4 hours and earned $6.75 per hour. what were

jill's average earnings per hour for all 6 hours?
Mathematics
1 answer:
Aleksandr-060686 [28]4 years ago
5 0
Actually, she worked for seven hours, so I'll solve for that.

7.20 x 3 = 21.6

6.75 x 4 = 27

21.6 + 27 = 48.6

48.6 /2 = 24.3

Her average should be $24.3  If she did work six hours, just multiply 6.75 x 3 and do what I did.
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Step-by-step explanation:

* <em>Lets explain how to change the story problem to equations</em>

- Jim bought 3 burgers and 2 orders of fries for $17

- Abby bought 2 burgers and 4 orders of fries for $18

- Assume that the price of one burger is x and one order of fries is y

* <em>Lets write two equations represents Jim and Abby orders</em>

∵ Jim bought 3 burgers and 2 orders of fries for $17

∴ 3x + 2y = 17 ⇒ (1)

∵ Abby bought 2 burgers and 4 orders of fries for $18

∴ 2x + 4y = 18 ⇒ (2)

* <em>Lets solve the two equations by the elimination method</em>

- Multiply equation(1) by -2 to eliminate y

∵ -2(3x) + -2(2y) = -2(17)

∴ -6x + -4y = -34 ⇒ (3)

- Add equations (2) and (3)

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- Divide both sides by -4

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- <em>Substitute the value of x in equations (1) or (2) to find y</em>

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- Subtract 12 from both sides

∴ 2y = 5

- Divide the both sides by 2

∴ y = 2.5

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∴ The price of each burger is $4

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∴ The price of each order of fries is $2.5

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