Question

A collection of quarters, dimes, and nickels is worth $5.00. If the ratio of quarters to dimes is 2:4:7, how many quarters are there ?

Answer 1

Answer:

8 quarters

Explanation:

Let's look at the ratio first off.

2 quarters: 4 dimes: 7 nickels

Let's write it in terms of money

50 cents of quarters: 40 cents of dimes: 35 cents of nickels

If we add up all the cents then we get $1.25

Then, if we divide $5 by $1.25 we get 4.

You should then multiply the original ratio by 4:

8 quarters: 16 dimes: 28 nickels

Let's check this by turning it to money:

$2: $1.60: $1.4

This all adds up to $5

Therefore your answer is 8 quarters.

Hope this helps!

- Kay

Answer 2

There are $0.769 worth of quarters in the collection.

How do we solve word problems with ratios?

Word problems with ratios are being solved by adding the ratios together, then relating that portion we are expected to determine to the sum total of the added ratio.

Mathematically, from the given information, we have:

• The total worth of the collection = $5.00
• In the same order of quarters, dime, and nickels, the ratios are 2:4:7

The sum total of these ratios are;
= 2 + 4 + 7

= 13

Now, the number of quarters in the whole collection can be computed as:

$\mathbf{= \dfrac{2}{13}\times \ 5}$

$\mathbf{= \dfrac{2}{13}\times \ 5 } \\ \\ \\ = \mathbf{\ 0.769}$

Learn more about word problems here:

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