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LekaFEV [45]
3 years ago
12

Singapore math

Mathematics
1 answer:
algol [13]3 years ago
4 0

Answer

The fraction of blue beads is 1 - 2/3 - 1/4 = 1/12  

If the total number of beads is t then  

red - blue = 42  

2t/3 - t/12 = 42  

therefore  

7t/12 = 42  

therefore  

t = 12x42/7 = 72

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Step-by-step explanation:

Notice that the points (0,15), and (20,0) form with the origin of coordinates (0,0),  a right angle triangle (please see attached image). This triangle has twon perpendicular sides of length 15 and 20 respectively. Therefore, we can find the length of the segment that joins points A (0,15) and B (20,0) by finding the length of the hypotenuse in a right angle triangle (with the Pythagorean Theorem):

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In order to find the appropriate location in (x,y) coordinates, we consider a smaller triangle (pictured in orange in the image) that is similar to the first larger triangle (pictured in blue). Notice that if the length of AB is 25,  each of its five equal divisions would be of length "5", and therefore two of them will render a length of "10" (which is the hypotenuse of this smaller right angle triangle.

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