Respuesta :
Answer:
16
Step-by-step explanation:
If the ratio is 3 red marbles to 4 blue marbles we can solve this using the following:
[tex]\frac{12}{b} = \frac{3}{4}[/tex]
[tex]12 * 4 = 3b\\48 = 3b\\\frac{48}{3} = b\\b = 16[/tex]
So we have 16 blue marbles.
Based on the ratio of red to blue marbles, the number of blue marbles in the bag is 16 marbles.
The bag has red marbles to blue marbles in a ratio of 3:4.
If there are 12 red marbles, the number of blue marbles can be found by direct proportion:
3 : 4
12 : x
Cross-multiply:
3x = 48
x = 48/3
x = 16 blue marbles
In conclusion, there are 16 blue marbles in the bag.
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