dyebel10
Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

A drawer has some red, green, and blue marbles. There are 33 marbles.
There are 4 times as many red marbles as green marbles. There are half
as many blue marbles as green marbles. How many blue marbles are in
the drawer?

Sagot :

naǫ
Green marbles = x.
There are 4 times as many red marbles as green marbles, so red marbles = 4x.
There are half as many blue marbles as green marbles, so blue marbles = 0.5x
There are 33 marbles in total, so x+4x+0.5x=33.

[tex]x+4x+0.5x=33 \\ 5.5x=33 \\ x=\frac{33}{5.5}=\frac{330}{55}=\frac{30 \times 11}{5 \times 11}=\frac{30}{5}=6 \\ \\ 0.5x=0.5 \times 6=3[/tex]

There are 3 blue marbles.
apologiabiology
so number of red is represented by r
number of green is represented by g
number of blue is represented by b

so r+g+b=33

there are 4 times as many red as green or
r=4g
there are half as many blue as green
1/2g=b or g=2b

so r+g+b=33
we can subsitute 1/2g=b for b
r+g+1/2g=33
subsitute r=4g for r in the equation
4g+g+1/2g=33
add like terms
5 1/2g=33
multiply both sides by 2
11g=66
divide both sides by 11
g=6

there are 6 green marbles

subsitute g=6 into r=4g and g=2b

r=4(6)
r=24
there are 24 red marbles

g=2b
6=2b
divide both sides by 2
3=b
threre are 3 blue marbles



there are 24 red marbles, 6 green marbles, and 3 blue marbles and 24+6+3=33
r=24
g=6
b=3

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.