You have 40 dimes and quarters who value is $6.25. Find the number of dimes and quarters you have?

Question

You have 40 dimes and quarters who value is $6.25. Find the number of dimes and quarters you have?

hurry please it's urgent

Answer 1

Since it's urgent - here goes.

D + Q = 40 D = no. dimes; Q = no. quarters. Solve for D so can substitute later. D = 40 - Q

Equation for value is 0.10D + 0.25Q = 6.25 or, to avoid decimals, express everything in cents:

10D + 25Q = 625 Substituting for D: 10(40 - Q) + 25Q = 625

400 - 10Q + 25Q = 625 -> 15Q = 225 Q = 225/15 = 15 Quarters

D = 40 - 15 = 25 Dimes

Check: $0.10(25) + $0.25(15) = $2.50 + $3.75 = $6.25

Answer 2

D + Q = 40

10D + 25Q = 625

10D + 10Q = 400

subtract last equation from the 1st to get

15Q = 225

Q = 225/15 = 15 Quarters

D= 40-15 = 25 Dimes