Answered

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mayra has $2.95 in nickels and dimes. the number of dimes is 3 less than twice the number of nickels. find the number of nickels.

Sagot :

MrRoyal

Answer:

Mayra has 13 nickels

Step-by-step explanation:

Given

Represent dimes with D and nickels with N.

So, from the first statement:

[tex]0.10D + 0.05N = 2.95[/tex]

From the second statement:

[tex]D = 2N - 3[/tex]

Required

Find N

Substitute 2N - 3 for D in [tex]0.10D + 0.05N = 2.95[/tex]

[tex]0.10(2N - 3) + 0.05N = 2.95[/tex]

Open bracket

[tex]0.10*2N - 0.10*3 + 0.05N = 2.95[/tex]

[tex]0.20N - 0.30 + 0.05N = 2.95[/tex]

Collect Like Terms

[tex]0.20N + 0.05N = 2.95+0.30[/tex]

[tex]0.25N = 3.25[/tex]

Make N the subject:

[tex]N = \frac{3.25}{0.25}[/tex]

[tex]N = 13[/tex]

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