Answer:
Nickel = 5%
Dime = 10%
Nickel + Dime = 15%
Step-by-step explanation:
You can do this easily by dividing the value of each coin and dividing it by the value of a dollar and multiply it by 100%. But before you do that, you need to first make them the same unit.
Nickel = 5 cents
Dime = 10 cents
Dollar = 100 cents
Nickel:
[tex]\dfrac{5cents}{100cents} = 0.05[/tex]
0.05 x 100% = 5%
Dime:
[tex]\dfrac{10cents}{100cents} = 0.10[/tex]
0.10 x 100% = 10%
But if you are looking for the percentage of both a nickel and a dime together, just add them up and you'll get 15%.
The percent of $1.00 that a nickle and a dime constitute is 15%
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
We know that:
A nickle and a dime = $0.05 + $0.1 = $0.15
let $0.15 is x% of $1
Then, we get:
[tex]\dfrac{1}{100} \times x = 0.15\\\\\text{Multiplying 100 on both the sides}\\\\x = 15[/tex]
Thus, $0.15 is 15% of $1
Thus, the percent of $1.00 that a nickle and a dime constitute is 15%
Learn more about percent here:
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