How many dimes are there and how many nickels are there

Question

“Jamal saved nickels and dimes. He saves 419 nickels and dimes worry $33.10 how many are nickels and how many are dimes?”

Answer 1

In this case, we need to set up 2 linear equations and find where they intersect. When X equals # of dimes and Y equals # of nickels, the equations would be:

X + Y = 419 which is the same as X = 419 - Y

$.10X + $.05Y =$33.10

We can then use substitution, addition, or graphing methods to solve for the intersect of the 2 lines. If using substitution it would look as such:

$.10(419 - Y) + $.05Y = $33.10

$41.90 - $.10Y + $.05Y = $33.10

-.05Y = -$8.80

Y = 176

X + 176 = 419

X = 243

Therefore, we have 176 nickels and 243 dimes.