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cece9080
17.07.2019 •
Mathematics
Colton has a change jar that contains $7.75 in half dollars and quarters. he has 13 more quarters than half dollars. how many of each type of coin does he have?
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Ответ:
x + 13= number of quarters
$0.50x + $0.25(x + 13)= $7.75
$0.50x + $0.25(x + 13)= $7.75
multiply 0.25 by parentheses
0.50x + (0.25 * x) + (0.25 * 13)= 7.75
0.50x + 0.25x + 3.25= 7.75
combine like terms
0.75x + 3.25= 7.75
subtract 3.25 from both sides
0.75x= 4.50
divide both sides by 0.75
x= 6 half dollars
QUARTERS
= x + 13
= 6 + 13
= 19 quarters
CHECK
$0.50x + $0.25(6 + 13)= $7.75
0.50(6) + 0.25(19)= 7.75
3 + 4.75= 7.75
7.75= 7.75
ANSWER: There are 6 half dollars and 19 quarters.
Hope this helps! :)
Ответ:
The answer is A
Step-by-step explanation: