1780 dollars is given in 10, 20, and 50 dollar bills. The total number of 20 dollar bills is 7/4 of the number of ten dollar bills. There are 8 times the number 50 dollar bills than the tens. How many bills of each type are there?
$ 1780 = (10) x +20 (7/4 x) + 50 (8x)
x(10+35+400)
1780/(445) = x = Ten Bills = 4 20's = 7 50's = 32
Let x be the number of $10 bills
(7/4)x = $20 bills
8x = $50 bills
So value * times nmber = total amount
10x + 20 (7/4)x + 50(8x) = 1780
10x + 35x + 400x = 1780
445x = 1780 divide by 445
x = 4 = $10 bills
(7/4)x = (7/4)(4) = 7 = $20 bills
8(4) = 32 = $50 bills
