Question

Three boxes contain counters
There are 63 counters in total
The total number of counters in box A and box B is 36.
The difference between the number of counters in box A and box C is 10
Work out the number of counters in each box.

Answer 1

what we Know: 3 box have some counters. There are 63 counters when they are all combined.
A and B counters = 36
The difference between A and C is 10.
Since we already know A and B we can subtract them from 63 to get C
C= 63- 36 = 27
Now we have to find A by looking for what number gives us the difference of 10 when subtracted from C.
 36 = 18+ 18 or 19+ 17
18 and 18 wont work because it does not give us the difference of 10.
So A = 17 counters and B = 19 counters.

Answer 2

The number of counters in the each of the three boxes is required.

The counters in box A is 17 box B is 19 and box C is 27.

Let number of counters in box A be $x$

Number of counters in box B be $y$

Number of counters in box C be $z$

$x+y+z=63$

$x+y=36\\\Rightarrow y=36-x$

$z-x=10\\\Rightarrow z=10+x$

$x+36-x+x+10=63\\\Rightarrow x+46=63\\\Rightarrow x=17$

$y=36-x=36-17=19$

$z=10+x=10+17=27$

The counters in box A is 17 box B is 19 and box C is 27.

Learn more:

https://brainly.com/question/8529870

https://brainly.com/question/15125547