A bag contains 50p, 25p and 10p coins in the ratio 3 : 7 : 4, amounting to Rs. 109.50. Find the number of coins of each type.	Choose one.
A) 80,250,140	B) 75,220,135	C) 90,210,120	D) 80,210,120	E) None of these
Solution:   Let the number of 50p, 25p and 10p coins be 3x,7x and 4x respectively.   Then, 3x/2 + 7x/4 + 4x/10 = Rs. 109.50.   =&gt; (30x + 35x + 8x)/20 = 109.50. =&gt; 73x = 109.5 * 20 =&gt; 73x =2190.   =&gt; x =2190/73= 
<gadget id="calculator">2190/73</gadget>
<output>30</output>
30.   .'. number of 50p coins= 3*30= 
<gadget id="calculator">3*30</gadget>
<output>90</output>
90; number of 25p coins= 7*30= 
<gadget id="calculator">7*30</gadget>
<output>210</output>
210;   number of 10p coins= 4*30= 
<gadget id="calculator">4*30</gadget>
<output>120</output>
120.   ANSWER IS 90,210,120
<result>C</result>
A bag contains 50p, 25p and 10p coins in the ratio 3 : 7 : 4, amounting to Rs. 109.50. Find the number of coins of each type.