Question

A wallet containing £40, has 3 times as many £1 as £5. find the number of each kind.

Answer 1

what is 3 times as many 1 euro and 5 euro?

Answer 2

re worded the question, I was typing in anger.

Answer 3

3(1x) + 5x = 40
3x + 5x = 40
8x = 40
x = 40/8 = 5
So, There are 15 one euro notes and 5 five euro notes.

Answer 4

Do you get it?

Answer 5

ohh i see

Answer 6

yeah.

Answer 7

actually, I cant see how (3(1x) and 5x) represent that there are 3 times as many 1s then 5s?

Answer 8

Exactly! You got it now!

Answer 9

I do not understand

Answer 10

x is the amount of £5 notes.

Answer 11

Okay, let me explain.
THERE ARE 3 TIMES 1 EURO NOTES THAN THE 5 EURO NOTES. THE TOTAL IS 40 EUROS.
1(3x) + 5(x) = 40
x represents the number of notes.
From the above equation, we see that there are 1 euro notes 3 times the 5 euro notes.

Now you know it :D

Answer 12

That all good, When I see 3x + 5x but I do not equate that to one number being 3 times another.

Answer 13

that is really what is baffling me.

Answer 14

We can say that 5x and 3x are like terms. The coefficient of the numerical value is same, so you can add. Similarly, you can add:
\(2x^{2} + 5x^{2} \)
\(4x^{2}y^{3} + 6x^{2}y^{3} \)
etc. etc.

Answer 15

Ok. If you have the same number of £1 and £5, let's say x. What is the total amount of money? Would you agree that is 1x+5x or (1+5)x?

Now apply that to here, but instead you have 3 times the £1. So total money is 1*3x+5x.
Then you put that equal to £40 to find x.

Answer 16

@ henryblah, that makes a little more sense.