Question

Need an answer fast please help (algebra )

Answer 1

15 nickels.

8 dimes.

Explanation:

Let be "n" the number of nickels in the jar and "d" the number of dimes in the jar.

Set up a System of equations using the information given in the exercise:

`\left \{ {{n+d=23} \atop {0.05n+0.10d=1.55}} \right.`

You can use the Elimination method to solve the System of equations:

1. You need to multiply the first equation by -0.10

2. Now you must add the equations.

3. Solve for "n".

Then:

`\left \{ {{-0.10n-0.10d=-2.3} \atop {0.05n+0.10d=1.55}} \right.\\..................................\\-0.05n=-0.75\\\\n=(-0.75)/(-0.05)\\\\n=15`

4. Finally you must substitute the value of "n" into any original equation and solve for "d" in order to find its value.

Then, you get:

`15+d=23\\\\d=23-15\\\\d=8`