Answer: solving by forming simple algebra equation
Explanation:
8x (x is the cost of 1 volleyball)
6y (y is the cost of 1 basketball)
We know that cost of 8 volleyballs is = cost of 6 basketballs
i.e. 8x = 6y
& total money spent to buy 8 volleyballs and 6 basketballs is $960
so we can write;
8x + 6y = 960
= (6y) + 6y = 960
= 12y = 960
= y or cost of 1 basketball is (960/12) = $80
& if we want to know the value of x (cost of 1 volleyball)
8x = 6y
= 8x = 6(80)
& x = 6(80/8)
= 6 (10) = 60
so the cost of basketball is $80 & 1 volleyball is $60
Hope it helps :)
p.s. that the equation I formed were made as if I was making an assumption & the conditions were kept uniform from the beginning, this is very applicable in day to day scenario; for e.g. when you go out with you friends to eat and have to split the bill - this assumption and division is called algebra - so value this education!