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Anastaziya [24]
4 years ago
7

Stephen budgets 1/5 of his money to spend on movies and music. Last month, he spent 13/14 of the budgeted amount. How much of hi

s total budget did he spend on movies and music last month?
Mathematics
1 answer:
Tasya [4]4 years ago
4 0

Answer:

13/70 of his total budget

Step-by-step explanation:

To answer this, multiply "1/5 of his money" by 13/14:

13      1        13

---- * ----- = ------

14       5       70

He spends 13/70 of his money for the month on movies and music.


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3 years ago
Mike went to a football game with his family. They bought 5 boxes of popcorn and 3 programs, and spent $41. Sean's family went t
slamgirl [31]
EZ!

Let's say each box costs $X and each program costs $Y
Thus, Mike's family spent:
$(5X+3Y)
or
$41

Sean's family spent
$(3X+2Y)
or
$26

This yields us a system of two equations:
5x+3y=41
3x+2y=26

<span>5x+3y=41
</span>2y=26-3x

<span>5x+3y=41
</span><span>y=13-1.5x
</span>
5x+3(13-1.5x)=41
y=13-1.5x

5x+39-4.5x=41
<span>y=13-1.5x
</span>
0.5x+39=41
<span>y=13-1.5x
</span>
0.5x=2
<span>y=13-1.5x
</span>
x=4
<span>y=13-1.5x
</span>
x=4
<span>y=7
</span>
Each box costs $4 and each program costs $7
8 0
3 years ago
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