Question

3) Angela has 37 coins in dimes and nickels. She has a total of $3.30.

a) Write the system of 2 linear equations.
b) How many dimes does Angela have?
c) How many nickels does Angela have?

Answer 1

hmmmmm b

Explanation:

Answer 2

x + y = 37
5x + 10y = 330
STEP ONE:
Substitute the variables
x = 37 - y
STEP TWO:
Substitute the values
5(37 - y) + 10y = 330
STEP THREE:
Multiply
185 - 5y + 10y = 330
STEP FOUR:
Subtract 185 from both sides
-5y + 10y = 145
STEP FIVE:
Add
5y = 145
STEP SIX:
Divide
y = 29
STEP SEVEN:
Check
x = 37 - 29
x = 8

Therefore, Angela has 8 nickels and 29 dimes.