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

Question

Ratio word problems and proportions dealing with word problems.

Answer 1

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.

Answer 2

Bill gets 3/(3+5) of the total.

(3/8)48 = 18

 

Answer: Bill gets 18 marbles.

Answer 3

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

Answer 4

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

Answer 5

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.