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2 years ago

Diane has $1.40 in dimes and nickels. She has a total of 16 coins. How many of each kind does she have?

Mathematics

1 answer:

Kazeer [188]2 years ago

3 0

9514 1404 393

Answer:

4 nickels
12 dimes

Step-by-step explanation:

Let d represent the number of dimes. Then 16-d is the number of nickels, and the total value is ...

0.10d +0.05(16 -d) = 1.40

0.05d + 0.80 = 1.40 . . . . . . . eliminate parentheses

0.05d = 0.60 . . . . . . . . subtract 0.80

d = 12 . . . . . . . .dimes

(16 -d) = 4 . . . . nickels

Diane has 12 dimes and 4 nickels.

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2 years ago

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$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

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${ \bf{ \underbrace{To\:verify:}}}$

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A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
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\begin{array}{llll}
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\end{array}\to &52\\
t=years\to &3
\end{cases}$

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