Work in cents. 10D + 25Q = 1975 and D + Q = 100 so D = 100 - Q
1000 - 10Q + 25Q = 1975
15Q = 975
Q = 65 making D = 35;
Check: does 10 x 35 + 65 x 25 = 1975?
350 + 1625 = 1975. Game over.
33
The coins in the store's cash register total $12.50. The cash register contains only nickels, dimes, and quarters. There are twice as many dimes as nickels. There are also twice as many quarters as dimes. How many quarters are in the cash register?
If 5 dimes to every 8 quarters that is 5 out of every 13 coins dimes and 8 of 13 coins quarters 5/13 x 520 = 200 dimes
where x=number of quarters, and 110-x=number of dimes (because the number of dimes is 110 minus the number of quarters): .25(x) + .10(110-x) = 18.50 .25x + 11 - .10x = 18.50 .25x - .10x = 7.50 .15x = 7.50 x = 50 50 quarters, 60 dimes
dimes : all coins = 6 : 12+6+18 = 6 : 36 = 1×6 : 6×6 = 1 : 6 Dimes are ⅙ of all coins.
16 % of the coins are dimes. 4 of a total of 25.
33
The coins in the store's cash register total $12.50. The cash register contains only nickels, dimes, and quarters. There are twice as many dimes as nickels. There are also twice as many quarters as dimes. How many quarters are in the cash register?
7
One roll of dimes contains 50 coins for a value of $5. Quarters come in rolls of 40 for a value of $10.
If 5 dimes to every 8 quarters that is 5 out of every 13 coins dimes and 8 of 13 coins quarters 5/13 x 520 = 200 dimes
If Keoki has 14 quarters and 8 dimes (for a total of 22 coins), she has $3.50 and $0.80 or $4.30 in coins. If Keoki has 15 quarters and 7 dimes (for a total of 22 coins), she has $3.75 and $0.70 or $4.45 in coins. If Keoki has 22 coins that are all dimes and quarters and their value in total is $4.35 as asked, there isn't a combination of coins that will permit her to have both 22 coins and $4.35 worth of coins.
Mula has 16 dimes and 11 quarters.
There are 39 combinations of dimes and quarters that will total 19.75 from 1 quarter and 195 dimes to 77 quarters and 5 dimes.
There are three possible combinations: 1 quarter and 13 dimes 3 quarters and 8 dimes 5 quarters and 3 dimes
where x=number of quarters, and 110-x=number of dimes (because the number of dimes is 110 minus the number of quarters): .25(x) + .10(110-x) = 18.50 .25x + 11 - .10x = 18.50 .25x - .10x = 7.50 .15x = 7.50 x = 50 50 quarters, 60 dimes
dimes : all coins = 6 : 12+6+18 = 6 : 36 = 1×6 : 6×6 = 1 : 6 Dimes are ⅙ of all coins.