A girl has been getting her parents change every day for a year. She has pennies and half-dollars worth $32.45. If she has five times as many pennies as half-dollars, how many of each type of coin does she have?
Follow the same steps I showed you in the previous post
Same kind of problem.
What post?
x is for pennies?
and .50 for half dollars?
total is 32.45
right?
To solve this problem, we can use algebra to represent the given information. Let's say that the number of half-dollars the girl has is "x". Since she has five times as many pennies as half-dollars, she would have 5x pennies.
Now, let's determine the values of the coins. A penny is worth $0.01 and a half-dollar is worth $0.50. So we can write an equation for the total value of the coins:
0.01(5x) + 0.50(x) = 32.45
Now we can solve this equation to find the value of "x", which represents the number of half-dollars the girl has:
0.05x + 0.50x = 32.45
0.55x = 32.45
x = 32.45 / 0.55
x ≈ 59
So the girl has approximately 59 half-dollars. Since she has five times as many pennies, she would have 5 * 59 = 295 pennies.