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podryga [215]
3 years ago
6

X divided by 2 equals seven divided by 10

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0
X= 2(7/10)
X= 14/10
X= 7/5
(1.4 in decimal)
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<u>Step-by-step explanation:</u>

First, set up the equations for each coin:

\begin {array}{c|c|c|l}\underline{\quad Type\quad }&\underline{Value}&\underline{Quantity}&\underline{\qquad \qquad \qquad Equation\qquad }\\ Nickel& \$0.05&6+d&0.05(6+d) = 0.30 + 0.05d\\Dime& \$0.10&d&\qquad 0.10(d)=0.10d\\Quarter& \$0.25&2d&\qquad 0.25(2d)=0.50d\\\end{array}

Next, the sum of the coins is $4.85 so substitute and solve for the variable:

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(0.30 + 0.05d)  +    0.10d   +     0.50d   =  4.85

0.30 + 0.65d = 4.85

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Lastly, plug the d-value into the quantity equation for the nickels and quarters to find their quantity.

nickels: 6 + d   = 6 + (7)   = 13

quarters: 2d   = 2(7)   = 14

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