Fiona baked some cookies. 4/5 of the cookies baked were chocolate cookies and the rest were coconut cookies. After giving away 75% of the chocolate cookies and 1/2 of the coconut cookies, there were 96 cookies left. How many cookies did Fiona bake?
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2 answers
Fiona baked 160 cookies.
checking the bot's answer:
if she had 160 cookies, then 128 were chocolate and 32 were coconut
she gave away 3/4 of the 128 or she gave away 96 chocolates, leaving
her with 32 chocolates cookies.
she gave away 1/2 of the cocos, leaving her with 16 coconuts
leaving her with a total of 32+16 or 48 cookies, but it said 96
THE BOT IS WRONG AGAIN.
correct solution:
at start:
chocolates: 4/5 x
cocos : 1/5 x
the give-away:
chocs left = (1/4)(4x/5) = x/5
cocos left = (1/2)(1/5 x) = x/10
x/5 + x/10 = 96
times 10
2x + x = 960
x = 320 <----- number she baked
so there were 4/5 of 320 or 253 chocolate and
1/5 of 320 or 64 coconut cookies.
if she had 160 cookies, then 128 were chocolate and 32 were coconut
she gave away 3/4 of the 128 or she gave away 96 chocolates, leaving
her with 32 chocolates cookies.
she gave away 1/2 of the cocos, leaving her with 16 coconuts
leaving her with a total of 32+16 or 48 cookies, but it said 96
THE BOT IS WRONG AGAIN.
correct solution:
at start:
chocolates: 4/5 x
cocos : 1/5 x
the give-away:
chocs left = (1/4)(4x/5) = x/5
cocos left = (1/2)(1/5 x) = x/10
x/5 + x/10 = 96
times 10
2x + x = 960
x = 320 <----- number she baked
so there were 4/5 of 320 or 253 chocolate and
1/5 of 320 or 64 coconut cookies.
2 answers