Jon has $1.15 in dimes and nickels. The number of nickels is 5 less than twice the number of dimes. Find the number of each type of coin.

Step-by-step explanation:

Just translate the words to numbers. Twice the number of dimes is 2d. Five less means subtract 5 from that. thats the nunber of nickels: n

So your first equation is n = 2d - 5

you know that the value of a nickel is 5 and the value of a dime is 10 and the total value is 115. (skip the decimals for now!) It's all cents. (that should make sense!)

The second equation is 5n + 10d = 115

Substitute the value of n (2d-5) from the first equation into the place of n in the second equation.

5 (2d - 5) + 10d = 115 now Distribute

10d - 25 + 10d = 115 and solve for d (add 25 to both sides abd combine d's)

10d + 10d = 115 + 25

20d = 140 divide both sides by 20

d = 7 Put that value in place of d in the first equation and solve for n

n = 2 (7) - 5 That's 14-5 so n=9

Check values in either equation: 5n + 10d = 115

5 (9) + 10 (7) = 115

45 + 70 = 115 TRUE! so Jon has 9 nickels and 10 dimes.