I have 3 times as many 10 cent coins as 20 cent coins, and their total value is 30.50.?

Question

So how many 20 cent coins do I have? It's quite easy.

I live in Australia and there's a 20 cent coin

Answer 1

Assuming you did have both 10 and 20 cent coins then it is quite easy...

For every 20 cent coin you also have three 10 cent coins making a total of 50 cents. To put it another way, for every 50 cents you have you must have one 20 cent coin.

As you have 3050 cents in total you have 61 lots of 50 cents (3050 divided by 50 = 61).

So you have 61 twenty cent coins and as you have 3 times as many ten cent coins you also have 183 ten cent coins.

You can check the math by (61 x 20) + (183 x 10).

Answer 2

x = number of 20 cent coins
3x = number of 10 cent coins

.20x + .10(3x) = 30.50
.20x + .30x = 30.50
.5x = 30.50
x = 61

There are 61 20 cent coins worth 12.20 and 183 10 cent coins woth 18.30. All together the coins are worth 12.20 + 18.30 = 30.50

Answer 3

Is this a trick question? What is a twenty cent coin?

Answer 4

y = 3x

.10y + .20x = 30.50
.10(3x) + .20x = 30.50
.30x + .20x = 30.50
3x + 2x = 305
5x = 305
x = 61

y = 3(61)
y = 183

You have 61 20cent coins and 183 10 cent coins

ANS : 61

Answer 5

I have Japan vs. Australia (world cup) on TV. I am in Canada. Hope you guys win!

let X be the no. of 20c coins then we have 3X 10c coins.

3X(0.10) + X(0.20) = 30.50
X(0.30+0.20) = 30.50
X(0.50) = 30.50
X = 30.50/0.50 = 61
61 20c coins (and 3*61 = 183 10c coins)

Answer 6

the u.s. had twenty cent coins also in the 1870s