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Brums [2.3K]
2 years ago
5

Mila and samuel had an equal amount of money for shopping. Mila spent $42 and Samuel spent $36. After that, Mila had 1/2 of what

Samuel has left. How much money Milla had initially?
Mathematics
1 answer:
koban [17]2 years ago
6 0

Answer:

Mila had $48 initially

Step-by-step explanation:

Let the amount of money they had be x

Mila spent $42; what is left would be x-42

Samuel spent $36: what is left would be x-36

So, what Mila had left is half of what Samuel has; that would be;

x-42 = 1/2(x-36)

2(x-42) = x -36

2x-84 = x -36

2x - x = 84 -36

x = $48

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Tickets to a school play are $4.50 for an adult and $3.00 for a student. If 300 tickets are sold and $1087.50 collected, how man
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Answer:

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Step-by-step explanation:

a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}

\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}

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