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Lesechka [4]
3 years ago
8

A collection of dimes and quarters is worth $6.50. There are 35 coins in all. How many dimes are there?

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0
Lets do this like this:
X = number of quarters and y=number of dimes.
Now, we know that the total number is 35 and that the change adds up to 6.50.
One equation we can form is <span>x+y=35</span>Remember the total number of coins is 35.
The other equation is <span>25x+.1y=6.5</span>Because the number of dimes times their value plus the number of quarters times their value gives us a total of 6.5. Now we can solve for x or y easily in the first equation.
Solving for y like this:<span>y=35−x</span>We can substitute this into the other equation to obtain<span>.25x+.1(35−x)=6.5</span>This simplifies to<span>.15x+3.5=6.5</span><span>.15x=3</span><span>x=<span>20
I hope this can help you indeed</span></span>
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======================================================

Work Shown:

June

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----------------------------

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----------------------------

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Hey there

Lets solve this question together, 

Convert <span>76.8%</span><span> to a decimal.
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Multiply 0.768<span> by </span>x<span> to get </span><span>0.768x</span><span>. 
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x=40.32 / 0.768 

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Answer:

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Step-by-step explanation:

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