Question

Alysha has a collection of some and nickel rolls that she’d like to take to the bank. Each dime roll has 50 dimes and each nickel roll has 40 nickels. Write an equation to represent the total value of Alysha’s dime and nickel collection. Define your variables.

Answer 1

t = 5d + 2n is the equation to represent the total value of Alysha’s dime and nickel collection

Solution:

Let "d" be the number of rolls of dimes

Let "n" be the number of rolls of nickels

Let "t" be the total value of coins

We know that,

Value of 1 dime = $ 0.10

Value of 1 nickel = $ 0.05

Each dime roll has 50 dimes and each nickel roll has 40 nickels

From above given statement, we can frame a equation as,

Total value = 50 dimes x Value of 1 dime + 40 nickels x Value of 1 nickel

$t = 50 \times d \times 0.10 + 40 \times n \times 0.05\\\\t = 5d + 2n$

Thus the equation to represent the total value of Alysha’s dime and nickel collection is found