Let S, M and L stand for small, medium and
large.
So S(1.5) + M(2) + L(2.5) = 1360. This means each
size cup times its price, all added together equals the entire amount of
$1360.
But you can't solve with three different variables,
so you have to get everything so you only have one variable. Let's see what you
know:
3S=M 3 times as many medium drinks as small or,
turning it around, 1/3M=S.
L= M-140 Number of large cups
is 140 less than the number of medium
Now, plugging in:
1/3M(1.5) + M(2) + (M-140)(2.5) = 1360.
By working out the
value of M mathematically, you will know how many medium cups were sold. 1/3 of that
number will be the number of small cups, and the number of Medium - 140 will give you
the number of large cups.
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