Question

In a bag of blue and red marbles i have the following ratio of blue total marbles; 3:5
If i have 60 blue marbles in the bag how many of these marbles are red Use a proportion with labels to solve

Answer 1

Answer:

The number of red marbles in the bag  = 40

Step-by-step explanation:

Here, given: The number of blue marbles in the bag  = 60

Let us assume , The number of red marbles in the bag  = m

So, the  total marbles  = Red  + Blue = 60  +  m

Also given ratio of blue marbles :  total marbles = 3  :   5

⇒ 3:5 = 60 : 60+ m

By the RATIO OF PROPORTION:

$\frac{3}{5} = \frac{60}{60 + m} \\\implies 3(60 +m) = 5 \times 60\\\implies 180 + 3m = 300\\\implies 3 m = 300 - 180 = 120\\m = \frac{120}{3} = 40\\\implies m = 40$

Hence the number of red marbles in the bag  = 40