A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Bag C and Bag D each contain 70 marbles. All the marbles inside both bags are red, white or blue.
In bag C, R:W = 2:3 and W:B = 3:5
In bag D, R:W = 2:3 and W:B = 4:5
What is the total number of white marbles in BOTH bags?
anonymous
 one year ago
Bag C and Bag D each contain 70 marbles. All the marbles inside both bags are red, white or blue. In bag C, R:W = 2:3 and W:B = 3:5 In bag D, R:W = 2:3 and W:B = 4:5 What is the total number of white marbles in BOTH bags?

This Question is Closed

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.1first I o for bag C w+r+b=70 \[\frac{r}{w}=\frac{2}{3} \rightarrow r=\frac{2}{3}w\\\frac{w}{b}=\frac{3}{5} \rightarrow b=\frac{5}{3}w\] now put on above equation \[w+r+b=70\\ww+\frac{2}{3}w+\frac{5}{3}w=70\\w=21\] so white marbles in bag c=21 can you solve like this for bag D ?

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.1i type ww , w +2/3w+5/3w=70 is correct

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0Alternatively, we can combine the ratio to include all three colours. For Bag C r:\(\color{blue}{w}\)=2:\(\color{blue}{3}\) \(\color{blue}{w}\):b=and \(\color{blue}{3}\) :5 Since w has a matching value of 3 in both ratios, we can say r:\(\color{blue}{w}\):b=2:\(\color{blue}{3}\) :5 So \(\color{blue}{w}\) = \(\color{blue}{3}\)/(2+\(\color{blue}{3}\) +5)=3/70=21 For bag D r:\(\color{blue}{w}\)=2:3 = 8:\(\color{blue}{12}\) \(\color{blue}{w}\):b=4:5=\(\color{blue}{12}\) :15 we need to match the value for white in both ratios to combine to a single ratio (using LCM of 3 and 4=\(\color{blue}{12}\) ) We can then say r:\(\color{blue}{w}\):b=8:\(\color{blue}{12}\) :15 and the number of while marbles can be calculated in a similar way to bag C.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.