Respuesta :
Answer:
12 blue marbles
Step-by-step explanation:
multiply 2:5 by 8 to get 16:40
multiply 3:10 by 4 to get 12:40
add 16 to 12 to get 28
Subtract 28 from 40 to get 12
Ultimately, you have 12 blue marbles
The given ratios can be expressed as fractions, from which the number of
each colored marble can be found.
- The number of blue marbles in the box are 12 blue marbles.
Reasons:
Red : Total = 2:5
Green : Total = 3:10
Stones that are neither red nor green is blue
Number of marbles (stones) in the box = 40 marbles
Required:
The number of blue stones in the box.
Solution:
Let x represent the b in the box, let R = red stones, G = green stones, and B = blue stones, we have;
x = 40
Expressing the ratios as fractions gives;
- [tex]\dfrac{R}{x} = \dfrac{2}{5}[/tex]
Therefore;
[tex]R= \dfrac{2}{5} \times x[/tex]
[tex]R= \dfrac{2}{5} \times 40 = 16[/tex]
The number of red stones, R = 16
Similarly, we have
- [tex]\dfrac{G}{x} = \dfrac{3}{10}[/tex]
[tex]G = \dfrac{3}{10} \times x[/tex]
Therefore;
[tex]G = \dfrac{3}{10} \times 40 = 12[/tex]
The number of green stones, G = 12
B = x - (R + G)
Therefore;
B = 40 - (16 + 12) = 12
- The number of blue marbles, B = 12 marbles.
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