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3 years ago

9

Pls help i dont get how to do this

1 answer:

Lorico [155]3 years ago

3 0

Step-by-step explanation:

What this is saying is...20 is a whole number; but 3/4 is not. What they are saying is, if you have to add a mixed number with a whole number, you can add both of the whole numbers together. Then, you add the 3/4 at the end...because it is not a whole number. You can break apart a mixed number by separating the whole number and the fraction.

Hope this helps :)

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Ginny's piggybank contained $8.80 in quarters, dimes, and nickels. there were two more than five times as many nickels as quarte

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Step-by-step explanation:

The value of a quarter is $0.25, the value of dime is $0.10, and the value of a nickel is $0.05. Let there be q quarters, n nickels, and d dimes.

Let's write equations from the statements given:

<u>"Ginny's piggybank contained $8.80 in quarters, dimes, and nickels.":</u>

$0.25q+0.1d+0.05n=8.80$

<u>"there were two more than five times as many nickels as quarters":</u>

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<u>"4 less than twice as many dimes as quarters":</u>

<u> $2q-4=d$ </u>

Plugging in equation 2 and 3 into equation 1, we can solve for q:

$0.25q+0.1(2q-4)+0.05(5q+2)=8.80\\0.25q+0.2q-0.4+0.25q+0.1=8.80\\0.7q=8.80+0.4-0.1\\0.7q=9.1\\q=\frac{9.1}{0.7}=13$

<em>Substituting q = 13 into equation 2 will give us nickels:</em>

$n=5q+2\\n=5(13)+2\\n=67$

<em>Substituting q = 13 into equation 3 will give us dimes:</em>

$d=2q-4\\d=2(13)-4\\d=22$

There are 13 quarters, 67 nickels, and 22 dimes.

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3 years ago