A collection of nickels and dimes is worth $4.40. There are 53 coins in all. How many nickels are there?
Nickel is a US coin worth 5 cents or 0.05.
Dime is a US coin worth 10 cents or 0.10
n + d = 53
0.05n + 0.10d = 4.40
n = 53 - d
0.05(53 - d) + 0.10d = 4.40
2.65 - 0.05d + 0.10d = 4.40
0.05d = 4.40 - 2.65
0.05d = 1.75
d = 1.75 / 0.05
d = 35
n = 53 - d
n = 53 - 35
n = 18
There are 18 nickels and 35 dimes.
0.05n + 0.10d = 4.40
0.05(18) + 0.10(35) = 4.40
0.90 + 3.5 = 4.40
4.40 = 4.40
I think that using the elimination method is the best, because it is the only method that I use when solving these types of equation. For example, for these two equations, you need to multiply one of the equations by a certain number so that you'd be able to find x and y. The elimination method is the method that tells you to do that. It is also the easiest method.
~Hope I helped!~
To convert a fraction to simplest form we need to find the
greatest common factor. The fraction can not be simplified because it is already in simplest form but we can change it to a mixed fraction.
Steps to solve <span>1) Set up the long division.
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<span>2) Calculate 13 ÷ 8, which is 1 with a remainder of 5.
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3) Bring down 7, so that 57 is large enough to be divided by 8.
4) Calculate 57 ÷ 8, which is 7 with a remainder of 1.
<span>5) Bring down 7, so that 17 is large enough to be divided by 8.
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<span>6) Calculate 17 ÷ 8, which is 2 with a remainder of 1.
</span>
<span>7) Therefore, 1377 ÷ 8 = 172 with a remainder of 1.
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<span>
Express as a mixed fraction = </span>