Question

alg1.2.11 practice 5
(algebra 1, unit 2, lesson 5)
clare knows that priya has a bunch of nickels and dimes in her pocket and that the total amount is $1.25.
a. find one possibility for the number of nickels and number of dimes that could be in priya’s pocket.
type your response in the space below.

Explanation:

Step1: Define variables

Let $n$ = number of nickels, $d$ = number of dimes.
Value of nickel = $0.05$, dime = $0.10$.
Equation: $0.05n + 0.10d = 1.25$

Step2: Simplify the equation

Multiply all terms by 20: $n + 2d = 25$

Step3: Choose a value for $d$

Pick $d=5$ (a non-negative integer).

Step4: Solve for $n$

$n = 25 - 2(5) = 15$
Verify: $0.05(15) + 0.10(5) = 0.75 + 0.50 = 1.25$

Answer:

15 nickels and 5 dimes