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rakanmadi87
23.09.2020 •
Mathematics
A cash box contains $74 made up of quarters, half-dollars, and one-dollar
coins. How many coins of each type does the box contain if the number of
half-dollar coins is one more than three-fifths of the number of one-dollar
coins and the number of quarters is four times the number of one-dollar
and half-dollar coins together?
Solved
Show answers
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Ответ:
25 one-dollar coins, 16 half-dollar coins, and 164 quarters
Step-by-step explanation:
First, set up equations based on the information given:
Then, substitute q in the first equation with the expression from the third equation:
Next, substitute h in that equation with the expression from the second equation:
Solve for d, the number of one-dollar coins:
Substitute 25 for d in the second equation to find h, the number of half-dollar coins:
Substitute 25 for d and 16 for h in the third equation to find q, the number of quarters:
Then, verify that the coins total $74:
Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:
Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:
Ответ:
Hello!
_______________________
A) Convert the fraction to a decimal by dividing the numerator by the denominator.
Step-by-step explanation: Convert the fraction to a decimal by dividing the numerator by the denominator.
Hope this helped you!