Question

Carlos buys a box of frozen flavored ice sticks. \frac{2}{5}of the ice sticks are blue raspberry. Of the remaining ice sticks, \frac{1}{3}are grape, and the rest are cherry.

If there are 48 blue raspberry and cherry flavored ice sticks altogether, how many ice sticks are in the box?

60 ice sticks
90 ice sticks
120 ice sticks
340 ice sticks

Answer 1

can u hurry?

Answer 2

2/5 are blue raspberry
of the remaining ice sticks (which there are 3/5 remaining)...1/3 are grape.
1/3 of 3/5 = 1/3 * 3/5 = 3/15....so 3/15 are grape.
and 3/5 - 3/15 = 9/15 - 3/15 = 6/15...these are cherry

so 12/15 are blue raspberry and cherry.....
48 is 12/15 of what ?
48 = 12/15x
48/(12/15) = x
48 * 15/12 = x
60 = x

check..
2/5 are blue raspberry...
2/5 of 60 = 2/5 * 60 = 120/5 = 24 are blue raspberry

3/15 are grape..
3/15 of 60 = 3/15 * 60 = 180/15 = 12 are grape

6/15 are cherry...
6/15 of 60 = 6/15 * 60 = 360/15 = 24 are cherry

24 + 24 + 12 = 60
48 + 12 = 60
60 = 60 (correct)

there are 60 ice sticks in the box

Answer 3

thanks could u help me with 1 more?

Answer 4

Of the books Joe sorted in the library, \frac{1}{3}were fiction. After he sorted out the fiction books, there were 136 books left.

How many books did Joe have to sort at the start?

105 books
119 books
144 books
204 books

Answer 5

if 1/3 were fiction, then 2/3 were something else
2/3 of what = 136
2/3x = 136
x = 136/(2/3)
x = 136 * 3/2
x = 408/2
x = 204

check...
1/3 were fiction..
1/3 of 204 = 1/3 * 204 = 204/3 = 68 were fiction

2/3 were not fiction..
2/3 of 204 = 2/3 * 204 = 408/3 = 136 were not fiction

136 + 68 = 204
204 = 204 (correct)

Joe had 204 books to sort

Answer 6

u r u good freind

Answer 7

thanks :)

Answer 8

i sent u a message