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# If 48 marbles are to be divided between bill and carl in the ratio 3:5 how man y marbles will bill get?

Ratio word problems and proportions dealing with word problems.

### 5 Answers by Expert Tutors

Monique B. | Tutoring Spanish, Arabic, and the "3 Rs"- Writing and Essay CoachTutoring Spanish, Arabic, and the "3 Rs"...
5.0 5.0 (28 lesson ratings) (28)
3
Another way to approach this question would be to consider how many equal parts are being distrubed. Looking at the ratio of 3:5 as  "for every 3 marbles that Bill gets, Carl get 5," it is easier understand that the marbles will be split into 8 equal parts.

The total marbles: 48 ;
divided by the number of equal parts: 8
gives you 8 groups of 6 marble.
If Bill gets 3 of the groups (each having 6 marbles)
he has a total of 6*3 marbles or 18 marbles.
Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
3
Bill gets 3/(3+5) of the total.
(3/8)48 = 18

Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
1
Hi Milton;

(3+5)x=48
x=one unit of marbles...
3x+5x=48
8x=48
x=6

3x=3(6)=18=Bill's share
5x=5(6)=30=Carl's share
Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
5.0 5.0 (7 lesson ratings) (7)
1
other approaches

the ratio is 3 to 5
Bill gets 3 marbles for every 8 there are
there are 48 marbles
48/8=6
6x3=18 marbles

(3x)/(5x) for some x simplifies to 3/5 and 3x+5x=48
8x=48
x=6
3*6=18 and 5*6=30
18/30 obviously simplifies to 3/5
the ratio is # of Bill's marbles/# of Carl's marbles, so Bill gets 18 marbles
David S. | Wise Math TutorWise Math Tutor
5.0 5.0 (58 lesson ratings) (58)
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This is a good problem to use ratio/proportion but we have to make sure we use the correct ratio when solving.  The ratio we are given is 3:5 but that is Bill:Carl.  We are also given the total so our ratio should be set up as Bills Marbles:Total Marbles.  That would be 3:8.  We know that the total marbles is 48.  The unknown is Bill's marbles (x).

So since the ratios have to be the same we know that x:48 = 3:8 or x/48 = 3/8.

Cross multiply 8x = 144.

Divide each side by 8.  8x/8 =144/8.

x = 18.  Carl gets the other 30.  Bill:Carl = 18:30 = 3:5.