Since the value is $6.90, we have the equation:
6.90 = 3x * 0.05 + 8x * 0.10 + 10x * 0.25
Now, we simplify the equation:
6.90 = 0.15x + 0.80x + 2.50x
6.90 = 3.45x
Now, we solve for x:
x = 6.90 / 3.45
x = 2
Now, we find the number of nickels, dimes, and quarters:
Nickels (3x) = 3 * 2 = 6
Dimes (8x) = 8 * 2 = 16
Quarters (10x) = 10 * 2 = 20
So, there are 6 nickels, 16 dimes, and 20 quarters.
In a collection of nickels, dimes, and quarters worth &6.90, the ratio of the number of nickels to dimes is 3:8. The ratio of the number of dimes to quarters is 4:5. Find the number of each type of coin. Use a coin value chart to help.
well, 4:5 is the same as 8:10
That makes the ratio of N, D, Q 3:8:10
Value = N * .05 + D*.10 + Q*.25
let 3x be the number of nickels, then 8x is the number of dimes, and 10 x is the number of q
value= 3x * .05 + 8x*.10 + 10x*.25
you know value, solve for x, then solve for the number of nickels (3x), dimes, and quarters. Nice problem.
1 answer
1 answer