Lesson How many lollipops do the children have?
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<H2>How many lollipops do the children have?</H2> <H3>Problem 1</H3>Joe, Amirah, Gastle and Sharifa had some lollipops. Joe had 5 lollipops less than 1/3 the total number of lollipops. Amirah had 36 lollipops more than 1/3 the total number of lollipops. Gastle had 1/5 the number of lollipops Joe had and Sharifa had 5 lollipops less than Gastle. How many lollipops were there in total? <B>Solution</B> <pre> Let x be one third of the total number of lollipops. Then Joe had x - 5 lollipops. Then Amirah had x + 36 lollipops. Gastle had {{{(x-5)/5}}} lollipops. Sharifa had {{{(x-5)/5 - 5}}} lollipops. The equation is: Joe + Amira + Gastle + Sharifa = 3x, or (x-5) + (x+36) + {{{(x-5)/5}}} + {{{(x-5)/5 - 5}}} = 3x. Multiply both sides by 5. You will get 5x - 25 + 5x + 180 + x-5 + x-5 - 25 = 15x, or 12x + 120 = 15x, 3x = 120. It is exactly what the problem is asking for. <U>Answer</U>. 120 lollipops. </pre> The lesson to learn from this solution is: a good choice of an unknown variable can save your effort and make the solution easier. 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