Answer:
1. Ernest has $82.5 and Gene has $117.5
2. c) 125x + 1500 = $20000
Step-by-step explanation:
If we mark Gene's half dollars with x, then it is given that Ernest has 8 more, which is x+8.
It is also given that Ernest has no quarters, but Gene has them as many as Ernest has half dollars, which is x+8.
And it is given that they both have 45 dimes each, which is $4.5 each.
Now, let's add up all these numbers:
Ernest: (x+8)•0.5 + 0•0.25 + 4.5 = 0.5x + 8.5
Gene: x•0.5 + (x+8)•0.25 + 4.5 = 0.75x + 6.5
They collected $200 together which means:
0.5x + 8.5 + 0.75x + 6.5 = $200
1.25x + 15 = $200
If we want to avoid decimal number, we can multiply whole equation with 100:
125x + 1500 = $20000
so, the correct answer is C.
Finally, to find x:
125x = 18500
x = 148
Ernest had 0.5x + 8.5 which is $82.5
Gene had 0.75x + 6.5 which is $117.5
