4/28/08 - Problem of the Week (Problems)

Fireworks - The Solutions
July 7, 2008

We can use similar triangles to solve this problem.

(Note: Diagram NOT draw to scale.)

100/1500 = 50/x

75,000 = 100x

x = 750 feet

First let’s add the values of the fireworks James’ purchased.

2(6.99) + 1(9.99) + 1(14.99) = $38.96

Now we have to figure out how much he owed after sales tax was included.

$38.96(0.05) = 1.948

Now we add the sales tax to the cost of the fireworks.

$38.96 + $1.948 = $40.908 ≈ $40.91 to the nearest cent

Thus, James received $45.00 – $40.91 = $4.09 back from the cashier.

The ratio of lemon juice to lemonade is 1 to 1 + 4.5, or 1 to 5.5. Now we can set up the following proportion: 1/5.5 = x/33.

1/5.5 = x/33

5.5x = 33

x = 6 cups of lemon juice


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