Question

Mrs.Sanders has 80 coins some were 1 dollar coins and the rest were 50 cents coins.The total amount was $50, how much 1 dollar and 50 cent coins did she have?

Answer 1

Answer:

Mrs. Sanders has 20, 1 dollar coins and 60, 50 cent coins.

Step-by-step explanation:

We are given the following in the question:

Let x be the 1 dollar coins and y be the number of 50 cents coins.

Total number of coins = 80

Thus, we can write the equation:

$x + y = 80$

Total amount =  $50

Thus, we can write the equation:

$x + 0.5y = 50$

Solving the two equations by elimination, we get,

$x+y-(x+0.5y) = 80-50\\0.5y = 30\\\Rightarrow y = 60\\\Rightarrow x = 80-y = 80-60=20$

Thus, Mrs. Sanders has 20, 1 dollar coins and 60,  50 cent coins.