Wesley bought some blue pens and gave half of them to Joshua. Joshua bought some

black pens and gave half of them to Wesley. Wesley used 3 black pens and Joshua used

6 blue pens. After that, the number of black pens Wesley had was 1/6 of the number of

blue pens he had while the number of black pens Joshua had was 1/4 of the number of

blue pens he had.

(a) How many blue pens did Wesley buy?

(b) How many black pens did Joshua buy?

RunningManZZ Sep 14, 2021

#1**+2 **

THIS IS AN ENGLISH QUESTION MY BRAIN IS MELTING BY LOOKING AT IT

10 years later...

Answer: Wesley bought 108 blue pens and Joshua bought 24 black pens.

Solution:

Distribution of the pens after using some of them:

Wesley: Half the blue pens, half the black pens - 3

Joshua: Half the blue pens - 6, half the black pens

Let x be half the number of blue pens. Let y be half the number of black pens (they both got half):

x = 6(y - 3)

x - 6 = 4y

I'll use substitution to solve this:

6(y - 3) - 6 = 4y

6y - 18 - 6 = 4y

2y = 24

y = 12

Putting that back into one of the equations and solving it gives x = 54.

BUT I used the half number as my variables, so I'll double the numbers at this point to get (x, y) = (108, 24) or in the question terms, Wesley bought 108 blue pens and Joshua bought 24 black pens.

WhyamIdoingthis Sep 18, 2021