Asked by Anonymous
Martin has a variety of cookies. 2/3 of the cookies were gingerbread. 1/4 of the remaining cookies were sugar. There were 6 chocolate chip cookies. How many cookies did Martin have altogether?
Answers
Answered by
mathhelper
Total number of cookies ---- x
number of gingerbread = (2/3)x = 2x/3
sugar cookies = (1/4)(1/3)x = x/12
chocolates --- 6
assuming there were no other kind
2x/3 + x/12 + 6 = x
times 12
8x + x + 72 = 12x
3x = 72
x = 24 <------ total number of cookies
check:
gingers = (2/3)(24) = 16 , leaving 8
sugars = (1/4)(8) = 2
chocs = 6
16 + 2 + 6 = 24 , all is good
number of gingerbread = (2/3)x = 2x/3
sugar cookies = (1/4)(1/3)x = x/12
chocolates --- 6
assuming there were no other kind
2x/3 + x/12 + 6 = x
times 12
8x + x + 72 = 12x
3x = 72
x = 24 <------ total number of cookies
check:
gingers = (2/3)(24) = 16 , leaving 8
sugars = (1/4)(8) = 2
chocs = 6
16 + 2 + 6 = 24 , all is good
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