SOLUTION: White chocolate cost $20.00 per bar, and dark chocolate cost $25.00 per bar. If Anne bought 15 bars of chocolate for $340.00. How many bars of dark chocolate did she buy
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Question 1199606: White chocolate cost $20.00 per bar, and dark chocolate cost $25.00 per bar. If Anne bought 15 bars of chocolate for $340.00. How many bars of dark chocolate did she buy Found 3 solutions by ikleyn, greenestamps, josgarithmetic:Answer by ikleyn(52754) (Show Source):
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White chocolate cost $20.00 per bar, and dark chocolate cost $25.00 per bar.
If Anne bought 15 bars of chocolate for $340.00, how many bars of dark chocolate did she buy?
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Let x be the number of dark chocolate bars Anne bought.
Then the number of the white chocolate bars is 15-x.
Write the total money equation
25x + 20*(15-x) = 340 dollars.
Simplify and find x
25x + 300 - 20x = 340
25x - 20x = 340 - 300
5x = 40
x = 40/5 = 8
ANSWER. Anne bought 8 dark chocolate bars.
CHECK. 25*8 + 20*(15-8) = 200 + 140= 340 dollars, total. ! Correct !
If a formal algebraic solution is not required, here is a quick and easy informal solution method using logical reasoning and simple mental arithmetic that can be used to solve this problem and a wide range of similar problems.
(1) If all 15 bars had been white chocolate, the total cost would have been 15($20)=$300
(2) The actual cost is $340, which is an additional $40
(3) Each dark chocolate bar costs $5 more than each white chocolate bar
(4) The number of dark chocolate bars needed to make the additional $40 is $40/$5 = 8
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