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3 years ago

14

Odell has the same number of quarters, dimes, and nickels. In all he has $4 in change. How many of each coin does he have?

1 answer:

Levart [38]3 years ago

6 0

<span>Since the number of quarters, dimes, and nickels is going to be the same for each, we can assign x as the quantity of each coin and place it by its monetary value: .25x + .10x + .05x = 4.00 This then simplifies to: .40x = 4.00 4 divided by .4 gives x a value of 10, so there would be 10 quarters, 10 dimes, and 10 nickels.</span>

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Step-by-step explanation:

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3 years ago

tyra has 12 2/3 cups of sugar. if r is the amount of sugar needed for one batch of cookies, the expression 12 2/3 ÷ r can be use

olga nikolaevna [1]

ANSWER

She can make 19 batches of oatmeal.

EXPLANATION

First we can change the mixed number into an improper fraction:

$12\frac{2}{3}=12+\frac{2}{3}=\frac{12\cdot3}{3}+\frac{2}{3}=\frac{36}{3}+\frac{2}{3}=\frac{38}{3}$

In this problem, r = 2/3. The division is:

$12\frac{2}{3}\div r=\frac{38}{3}\div\frac{2}{3}$

Using the KFC rule:

$\frac{38}{3}\div\frac{2}{3}=\frac{38}{3}\times\frac{3}{2}$

Solving we can see that the denominator of the first fraction can be simpliied with the numerator of the second fraction:

$\frac{38}{3}\times\frac{3}{2}=\frac{38}{1}\times\frac{1}{2}=\frac{38}{2}=19$

Tyra can make 19 batches of oatmeal with 12 2/3 cups of sugar.

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1 year ago