Emma has $12.60 worth of nickels and quarters. She has 4 times as many quarters as
nickels. How many quarters does she have?

Respuesta :

Emma has 48 quarters.

What is linear equation in one variable?

Let x be any variable then ax + b = c  b is an linear equation in one variable

where a, b, c are constants  then we get solution for x as

x=(b-c)/a

Given as Emma has 4 times as many as quarters as nickels

Let the no of nickels be x

Then as there are 4 times as many as quarters as nickels

then no quarters be = 4x

Value of one nickel = 5 cents= $0.05

Value of one quarter = 25 cents = $0.25

Therefore x nickels and 4x quarters worth is = x(.05)+4x(.25)

Total worth of given nickels and quarters = $12.60

Then 0.05x+x = 12.60

This is an linear equation in one variable

1.05x=12.60

x= 12.60/1.05

x=12

Therefore Emma has 12 nickels

and 4(12)= 48 quarters

Learn more about linear equations from

https://brainly.com/question/13738061

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