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The total number of color blocks is 1260. If the ratio of red block to blue block is 2 ∶ 5 and the ratio of blue block to yellow block is 15 ∶ 7, then how many yellow blocks are there?

A315

B675

C745

D270

Answer:

A. 315

Read Explanation:

Given:

The total number of color block = 1260

The ratio of red and blue is = 2:5

The ratio of blue and yellow is = 15 : 7

Calculation:

Let the yellow color block be X

Multiply by 3 in ratio of red and blue =(2×3)=(2\times{3})(5×3)(5\times{3}) = 6 : 15

The ratio of red, blue and yellow color block = 6 : 15 : 7

The number of yellow color blocks =76+15+7×1260=\frac{7}{6+15+7}\times{1260}

=728×1260=315=\frac{7}{28}\times{1260}=315

∴ The required result will be 315.


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