Question : The total number of colour 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?
Option 1: 315
Option 2: 675
Option 3: 270
Option 4: 745
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Correct Answer: 315
Solution : The ratio of red block to blue block = 2 : 5 = 6 : 15 The ratio of blue block to yellow block = 15 : 7 $\therefore$ The ratio of red block to blue block to yellow block = 6 : 15 : 7 Let $6x,15x,$ and $7x$ be the numbers of red, blue and yellow blocks, respectively. Total number of colour blocks = 1260 $⇒ 6x+ 15x+ 7x = 1260$ $⇒ 28x = 1260$ $\therefore x=\frac{1260}{28}= 45$ So, the number of yellow blocks = 45 × 7 = 315 Hence, the correct answer is 315.
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