# MATHS

Please show the quickest way to do this question?

Amanda has 20 coins in her purse. She has only 10c,20c and 50c coins, and their total value is \$5. If she has more 50c than 10c coins, how many 10c has she?

Thank You

1. Are you in algebra using variables 'c'?

posted by Dean
2. I'm not sure what you mean.

posted by BRENDAN
3. What grade are you in?

posted by Dean
4. YEAR 4

posted by BRENDAN
5. c stands for cents?

posted by Dean
6. yes c stands for cents.

posted by BRENDAN
7. I got 4 x 50c = \$2

2 x 10c = 20 c

14 x 20c = \$2.80c

so she has 2 x 10c

posted by Dr Russ
8. Since you are in year 4, you will be able to solve this algebraically.
let the number of 10c pieces be x
let the number of 20c pieces be y
let the number of 50c pieces be (20-x-y)

10x + 20y + 50(20-x-y) = 500
reduces to
4x + 3y = 50
so we need positive integer solutions for x and y
clearly x has to be between 0 and 13
after only two tries, I got
x = 2, and y = 14
then
number of 10c pieces = 2
number of 20c pieces = 14
number of 50c pieces = 20-2-14 = 4

check: 2x10 + 14x20 + 4x50 = 500

posted by Reiny

## Similar Questions

1. ### MATHS

Could you please explain the quickest way to calculate these questions? 1)Julian's age has the same figures as his dad's with the digits reversed. The sum of their ages is 77 and Julian is 27 years younger than his dad. How old is
2. ### math

natalie has a change purse full of coins. she has 13 pennies, 15 dimes and 22 nickles. if she takes a coins out of her purse, without looking, the probability that it will be a penny is ----------- out of ------------
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?
4. ### Algebra

Suzie has 11 coins in her purse. the coins are dimes and quarters. If she has \$2.00 in her purse, how many of each coin does she have?
5. ### algebra

a purse contains 26 coins, some of which are dimes and the rest are nickels. Altogether, the coins are worth more than \$2.10. At least how many dimes are in the purse?
6. ### Maths

A purse contains 25 paisa and 50 paisa coins.the number of 25 paisa coins is three times the number of 50 paisa coins.if the total money in the purse is rs 50.find the number of coins of each types.
7. ### math

Natalie has a change purse full of coins. She has 13 pennies, 15 dimes and 22 nickels. If she takes a coin out of her purse, without looking, the probability that it will be a penny is?
8. ### math

a lady has only 20 paisa coins and 25 paisa coins in her purse if she has 50 coins in totalling rupees 11.50 how many coins of each kind does she have
9. ### math

Ms. Mendez has \$0.93 in her purse. She has 9 coins. She has two more dimes than quarters. What coins does she have?
10. ### math

dara has 5 coins in her purse the coins total 40 cents

More Similar Questions