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FinnZ [79.3K]
3 years ago
14

Students at Mendel Middle School are planning a fair for their school's fundraiser. Liam volunteers to help plan the event. The

first month, he volunteered for x hours. The next month, he volunteered for 1 2/3 times as many hours as he had the first month. If he volunteered for a total of 40 hours, how many hours did he volunteer during the first month? Write an equation to represent the situation and solve.
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0

Answer:

15 hours

Step-by-step explanation:

x is the number of hours that Liam volunteered in the first month

The next month he volunteered 1\dfrac{2}{3} times the time he volunteered the first month.

Total time he volunteered in the two months is 40 hours so

x+1\dfrac{2}{3}x=40\\\Rightarrow x+\dfrac{5}{3}x=40\\\Rightarrow \dfrac{3x+5x}{3}=40\\\Rightarrow x=\dfrac{40\times 3}{8}\\\Rightarrow x=15

Time he volunteered in the first month is 15 hours.

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Anit [1.1K]

(1)

since both equations express y in terms of x, equate the right sides

- 2x = - 4x + 10 ( subtract 4x from both sides )

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6 0
3 years ago
A school employs 75 teachers. The following table summarises their length of service at the school,
Over [174]

There are

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3 0
3 years ago
Mariano delivers newspapers. He always puts 3/4 of his weekly earnings in his savings account and then divides the rest equally
lesya [120]

Answer:

a. Fraction of earnings that Mariano put into each piggy bank  is 1/12

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Mariano divides his earning in a saving account and 3 piggy banks.  

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Each piggy bank will be 1/3 of that 1/4

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For fraction multiplication, multiply the numerators and then multiply the denominators to get

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b. Mariano adds $2.40

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total earning  is ?

We use cross-multiplication

a/b=c/d  replacing   (1/12)/2.40 = 1/ ?

So,  the total earning (?) is 1 x 2.40/ (1/12)

= 2.40 x 12=$28.8

6 0
3 years ago
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