# Math

posted by
**Natasha**
.

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.