# MATHS

posted by .

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

• MATHS -

Are you in algebra using variables 'c'?

• MATHS -

I'm not sure what you mean.

• MATHS -

What grade are you in?

• MATHS -

YEAR 4

• MATHS -

c stands for cents?

• MATHS -

yes c stands for cents.

• MATHS -

I got 4 x 50c = \$2

2 x 10c = 20 c

14 x 20c = \$2.80c

so she has 2 x 10c

• MATHS -

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

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### MATHS

Could you please explain the quickest way to calculate these questions?
2. ### Maths

I have 50 coins, some 10c and the rest 20c. Altogether they total \$8.20. How many of each coin do I have?
3. ### maths

A bag contained a number of 20cents, 50cents and \$1 coins. 1/3 of the 20cents coins is equal to 2/3 of the 50cents coins. There are 3/5 as many 50cents coins as \$1 coins. If the total value of these coins is \$23.10, how many coins …
4. ### maths

Andrew has 7 20c coins and 5 50c coins in his piggy bank. What is the smallest number of coins he might have to shake out to be certain of having 2 50c coins?
5. ### 5th grade math

I need to use quarters, dimes, nickles and pennies to make the following: \$1.53 in 12 coins \$2.53 in 20 \$2.32 in 15 coins \$2.00 in 22 \$1.45 in 10 coins \$1.76 in 16 coins \$0.85 in 11 coins \$1.01 in 12 coins \$1.29 in 15 coins
6. ### MATHS

24 1c coins are set out in a row on a table Then every 2nd coin is replaced by a 2c coin every 3rd coin is replaced by a 5c coin every 4th coin is replaced by a 10c coin every 5th coin is replaced by a 20c coin every 6th coin is replaced …
7. ### 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
8. ### math

A collection of coins contains only 10-cent and 5-cent coins.There are x 5cent coins in the collection. Write an algebraic expression for of following. * The total value of the coins if for every three 10-cent coins there are five …
9. ### Math

I have \$46.20 in my pocket in \$2, \$1, 50c, 20c, 10c and 5c coins, and I have an equal number of each coin type. That number is?
10. ### Maths

There are x no of 5 rupee coins and the no. of 2 rupee coins is 3 times more than the no of 5 rupee coins. Their total sum=₹77. Find the number of ₹2 coins and ₹5 coins.

More Similar Questions

Post a New Question