Question

problem 6
a bag contains 150 marbles. some are blue, and the rest are white. there are 21 blue marbles for every 4 white marbles.
a. how many blue marbles are in the bag?
type your answer in the box below.
blue marbles
b. explain your reasoning.

Explanation:

Step1: Find the total parts

The ratio of blue to white marbles is \(21:4\). So the total number of parts is \(21 + 4=25\) parts.

Step2: Find the value of one part

The total number of marbles is 150. So the value of one part is \(\frac{150}{25} = 6\) marbles per part.

Step3: Find the number of blue marbles

Since blue marbles are 21 parts, the number of blue marbles is \(21\times6 = 126\) marbles.

Answer:

126