Keysha has 84 nickels and 96 dimes in her purse.
Step-by-step explanation:
Total coins = 180
Worth of coins = $13.80 = 13.80*100 = 1380 cents
Nickel = 5 cents
Dime = 10 cents
Let,
Number of nickel coins = x
Number of dime coins = y
According to given statement;
x+y=180 Eqn 1
5x+10y=1380 Eqn 2
Multiplying Eqn 1 by 5
[tex]5(x+y=180)\\5x+5y=900\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](5x+10y)-(5x+5y)=1380-900\\5x+10y-5x-5y=480\\5y=480[/tex]
Dividing both sides by 5
[tex]\frac{5y}{5}=\frac{480}{5}\\y=96[/tex]
Putting y=96 in Eqn 1
[tex]x+96=180\\x=180-96\\x=84[/tex]
Keysha has 84 nickels and 96 dimes in her purse.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
