# maths

posted by .

a box containing pens,nickels,and dimes has 13 coins with a total value of 83 cents.how many coins of each type are in the box?

• maths -

number of pennies --- p
number of nickels ---- n
number of dimes ---- 13-p-n

p + 5n + 10(13-p-n) = 83
p + 5n + 130 - 10p - 10n = 83
-9p - 5n= -47
9p + 5n = 47 ---> n = (47-9p)/5
since both p and n have to be positive integers
0 < p < 5 and 0 < n< 10

try p=1 , n is a fraction
p = 2, n is a fraction
p=3 , n = 4
p = 4 , n is a fraction

so p = 3, n = 4 and subbing back, dimes = 6

check" 3(1) + 4(5) + 6(10) = 83

## Similar Questions

1. ### math

Three coins are selected from 10 coins: 4 dimes, 4 nickels, and 2 quarters. In how many possible ways can the selection be made so that the value of the coins is at least 25 cents?
2. ### math

Mr. Adams has a box containing 14 coins. The coins are either quarters, nickels, or dimes. In the box are 4 quarters. There are 4 times as many dimes as nickels. How many dimes are in the box?
3. ### Math

A change purse contains an equal number of pennies, nickels, and dimes. The total value of the coins is 112 cents. How many coins of each type does the purse contain?

A coin box contained some twenty-cent and fifty-cent coins in the ratio 4:3. After 20 twenty-cent coins were taken out to exchange for fifty-cents coins of the same value and put back in the box, the ratio of the number of twenty-cent …
5. ### maths

A coin box contained some twenty-cent and fifty-cent coins in the ratio 4 : 3. After 20 twenty-cent coins were taken out to exchange for fifty-cents coins of the same value and put back in the box, the ratio of the number of twenty-cent …
6. ### math

There are 60 coins in a box containing only nickels, dimes, and quarters. If there is one more than twice as many dimes as quarters, and the total value of all dimes is five cents less than the total value of all nickels, how many …
7. ### Math

rick has a box of coins. The box contains 51 coins. Which consist of pennies, dimes and quarters. The number of pennies equal the number of dimes the total value of the box of coins is 5.73. How many dimes?
8. ### math

When a child breaks open her piggy bank, she finds a total of 76 coins, consisting of nickels, dimes, and quarters. The total value of the coins is \$9. If the nickels were dimes, and the dimes were nickels, the value of the coins would …
9. ### Algebra

Your friend claims that she has a bag of 30 coins containing nickels, dimes, and quarters. The total value of the 30 coins is \$3. There are twice as many nickels as there are dimes. Is your friend correct?
10. ### ALGEBRA

Mae open her coin purse and found pennies,nickels and dimes with a total value of \$2.85.If there are twice as many pennies as there are nickels and dimes combined.How many pennies,dimes and nickels are there if she has a collection …

More Similar Questions