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  • 26-05-2021
  • Mathematics
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Lian has $1.00. She has only nickels and dimes. Lian has twice as many dimes as nickels. How many dimes does she have?

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  • 27-05-2021

Answer: 8

Step-by-step explanation:

Given

Lian has [tex]\$1.00[/tex] and she has twice as many dimes as nickels

Suppose she has [tex]x[/tex] nickels

So, the number of dimes is [tex]2x[/tex]

Nickel is equivalent to 5 cents and dime is equivalent to 10 cent

[tex]\therefore \ x(0.05)+2x(0.1)=1\\\Rightarrow 0.05x+0.2x=1\\\Rightarrow 0.25x=1\\\Rightarrow x=4[/tex]

Therefore she has 8 dimes with her.

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