28% of Sumiko's CDs are Chinese music CDs. 42% of these are English music CDs and the rest are Japanese music CDs. There are 45 Japanese music CDs. Find the total number of CDs.

150 CDs

Step-by-step explanation:

From the question, we are told that:

28% of Sumiko's CDs are Chinese music CDs.

42% of these are English music CDs The rest are Japanese music CDs.

Let the total number of CDs = 100%

Therefore the percentage of Japanese CDs is calculated as:

100% - (28% + 42%)

100% - 70%

= 30%

There are 45 Japanese music CDs.

Let us represent total number of CDs = x

Hence,

30% of x = 45 Japanese music CDs

Hence,

30/100 × x = 45

30x/100 = 45

Cross Multiplication

30x = 100 × 45

Divide both sides by 30

x = 4500/30

x = 150 CDs

Therefore, the total number of CDs = 150 CDs

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