Business - Minded Bugsy ! |
Since
we have learned the three methods that are used to solve
linear equations, lets try and put our skills to use by
solving this problem that is picking Bugs' brains ! |
Bugs Bunny picks more carrots than he can eat; so, he decides to sell them. He puts these carrots in two piles according to size : small or big. Bugs sell the small carrots for $ 1.50 each, and sells the big carrots for $ 2.50 each. After working very hard for an entire day, Bugs sells 80 carrots and makes a total of $ 153.00. Write and solve an equation to find the number of small carrots and the number of big carrots Bugs Bunny sold. |
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I decided to use the Substitution method to solve this problem. My first step was to set up the equations. Then I went on to substitute one variable for another till I found the values of both variables. s + b = 80 1.50s + 2.50b = 153 |
| s
+ b = 80 s = - b + 80 s = -
( 33 ) + 80 |
1.50s + 2.50b = 153 1.50 ( - b + 80 ) + 2.50 b = 153 -1.50b + 120 + 2.50b = 153 2.50 b - 1.50b = 153 - 120 1b = 33 b = 33 |