Stephanie adds pennies, nickels and quarters to a scale until the mass of the combine coins is 75 grams. Each penny has a mass of 2.5 grams, each nickel has a mass of 5 grams and each quarter has a mass of 5.7 grams. Create an equation to model this situation, where x is the number of pennies, y is the number of nickels and z is the number of quarters that Stephanie can put on the scale so that the mass of the combined coins is exactly 75 grams.
Answers
x = number of pennies
y = number of nickels
z = number of quarters
2.5x + 5y + 5.7z = 75 {mass of each coin times number of coins equals total mass}
Answer: Stephanie adds pennies, nickels and quarters to a scale until the mass of the combine coins is 75 grams.
To find : Create an equation to model this situation
Solution:
number of pennies = x
Each penny has a mass = 2.5 grams
mass of x pennies = 2.5x grams
number of nickles = y
Each nickle has a mass = 5 grams
mass of y nickles = 5y grams
number of Quarters = z
Each Quarter has a mass = 5.7 grams
mass of z Quarters = 5.7z grams
Total Mass = Mass of x Pennies + mass of y nickles + mass of z quarters
= 2.5x + 5y + 5.7z grams
Total Mass = 75 grams
Equation both
=> 2.5x + 5y + 5.7z = 75
2.5x + 5y + 5.7z = 75 is the required equation
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