<PRE><B>Question 1188617</B>
Patrick bought a bag of sweets.
let s = original number of sweet
3/8 of the sweets were apple-flavoured and the rest were strawberry-flavoured.
{{{3/8}}}s = no. of apple flavored
{{{5/8}}}s = no. of  strawberry flavored
:
After giving away 8/9 of the apple-flavoured sweets and 42 strawberry-flavoured
sweets to his friends, he had 1/12 of the sweets left.
 he had (1/9)s left therefore
({{{1/9}}}*{{{3/8}}}s) + ({{{5/8}}}s - 42) = {{{1/12}}}s
{{{3/72}}}s + {{{5/8}}}s = {{{1/12}}}s + 42
Common denominator is 24, rearrange to:
{{{1/24}}} + {{{15/24}}} - {{{2/24}}} = 42
{{{14/24}}}s = 42
get rid of the denominator, multiply b 24
14s = 1008
s = 1008/14
s = 72 sweets originally
:
Patrick paid $0.20 for each sweet.
How much did Patrick pay for the bag of sweets at first?
72 * .20 = $14.40
:
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