Ron pours 4 ounces of coffee into an 8 ounce cup and 4 ounces of cream into a 2nd cup of the same size. She then transfers 1/2 the coffee from the 1st cup to the 2nd, and after stirring thoroughly, she transfers 1/2 the liquid in the 2nd cup back to the 1st.What fraction of the liquid in the 1st cup is now cream???
2007-10-05 12:34:26 · 11 answers · asked by ~USA~ 2 in Science & Mathematics ➔ Mathematics
Hi,
Cup A 4 ounces coffee
Cup B 4 ounces cream
Pour ½ the coffee or 2 ounces into cup B
Cup A 2 ounces coffee
Cup B 4 ounces cream + 2 ounces coffee, so 2/3 of this is cream.
Pour ½ the 6 ounces total or 3 ounces of mixture back into cup A. Of that 3 ounces, 2/3 of it or 2 ounces is cream.
Cup A 2 ounces coffee + 3 new ounces of which 2 ounces is cream and 1 ounce is coffee.
That means that 2 ounces out of the 5 ounces is cream, so 2/5 is cream. <== answer
Cup B 3 ounces of which 2 ounces are cream + 1 ounce is coffee
The answer is 2/5 of the 1st cup is cream.
I hope that helps!! :-)
2007-10-05 12:44:10 · answer #1 · answered by Pi R Squared 7 · 0⤊ 0⤋
1st cup: 4 ounces of coffee
2nd cup: 4 ounces of cream
transfer 1/2 (2 ounces) from the first cup to the second:
1st cup: 4ounces-2= 2 ounces coffee
2nd cup: 4 ounces cream + 2 ounces coffee= 6 ounces
transfer 1/2 liquid in the 2nd cup to the first cup:
2nd cup: 6 ounces-3 (1/2)= 3 ounces
1st cup: 2 ounces+ 3 ounces= 5 ounces
2/5 in the 1st cup is cream
2007-10-05 12:43:55 · answer #2 · answered by Anonymous · 0⤊ 0⤋
after 1st transfer there is 2 onces of coffee in cup1 and 4 ouces of cream +2 ounces of coffee in second cup. So 2nd cup has 6 ounces of a mixture that has twic as much cream in it as coffee. 1/2 of this mixture thus is 3 ounces which contains 2 ounces of crean and 1 ounce of coffee.
When this is poured into the 1st cup we now have 5 ounces of which 3 are coffee and 2 are cream. 2/5 of the 1st cup are now cream.
2007-10-05 12:47:08 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
Begins with:
1st cup, 4 oz coffee
2nd cup, 4 oz cream
Pours:
2 oz coffee from 1st cup to 2nd cup.
Now you have:
1st cup 2 oz coffee
2nd cup 6 oz total, 4 oz cream 2 oz coffee, 2/3 cream and 1/3 coffee
The pours:
half the liquid from 2nd cup to 1st cup
3 oz, 2/3 cream and 1/3 coffee, 2 oz cream and 1 oz coffee
End with:
1st cup 5 oz total 2+1 oz coffee and 0+2 oz cream
2nd cup 2 oz cream and 1 oz coffee
So the firs cup has 3 oz coffee and 2 oz cream, so it is 3/5 coffee and 2/5 cream.
2007-10-05 12:47:45 · answer #4 · answered by Amy W 6 · 0⤊ 0⤋
so... step by step
the second cup now has 6 ounces (1/3 coffee)
pouring back into 1st cup 3 ounces (1 ounce coffee)
+ 2 ounces already there
5 ounces mix 2/5 cream
2007-10-05 12:38:04 · answer #5 · answered by Jay 4 · 0⤊ 0⤋
Step 1 - 4 C | 4 Cr
Step 2 - 2C | 2C + 4Cr
Step 3 - 2C + 1C + 2Cr | 1C + 2 Cr
So the first cup has 3C and 2 Cr so the fraction of liquid in the first cup that is now cream is 2/5.
2/5's is cream 3/5's is coffee.
Hope this helps.
2007-10-05 12:44:35 · answer #6 · answered by pyz01 7 · 0⤊ 0⤋
1/2
2007-10-05 12:38:24 · answer #7 · answered by Sophia 1 · 0⤊ 0⤋
2 ounces are cream and 3 ounces are coffee
2007-10-05 16:16:34 · answer #8 · answered by van v 3 · 0⤊ 0⤋
4 oz of coffee into 8 oz cup... cup is 4/8 oz of coffee.
4 oz of cream into 8 oz cup... cup is 4/8 oz of cream.
2/8 of the coffee goes and puts it in "4/8 oz of cream cup"
6/8's full and she transfers 1/2 the liquid (or 3/8s) back in to the first. 3/8s goes back into 1st cup u get 5/8s of a mixture...
2007-10-05 12:42:02 · answer #9 · answered by Axis Flip 3 · 0⤊ 0⤋
There's a couple of ways to look at it. First, do overall volume. A 3" cube has a volume of 27 cubic inches (3x3x3). Your prism has a volume of 1296 cu. ic. (9*6*24). 1296 / 27= 48 The other way to do it is by layers. The prism has a base of 6 x 9. So 6 cubes will fit. Now, keep stacking layers of 6 cubes until they're 24 inches tall. This will require 8 layers. 6 x 8 = 48
2016-05-17 06:23:23 · answer #10 · answered by Anonymous · 0⤊ 0⤋