A stand at a local parade is selling flags for observers to wave. The small flags each cost 2/3 the price of each large flag, and each flag costs a whole number of dollars. If Frida bought 5 flags and spent $24.00, how much do each of the small flags cost in dollars?
Because the numbers are small, guess and check may be used to solve this one. If the large flags each cost $6, the small flags would each cost $4. To make sure this is feasible: $4 + $4 + $4 + $6 + $6 = $24.
The American flag has 13 horizontal stripes. If the flag outside of Victor’s house is 4 feet tall and 6 feet wide, how many inches tall is each of the 13 stripes? Express your answer as a mixed number.
First, we need to convert the height (4 feet) to inches. With 12 inches in a foot, this gives 4 × 12 = 48 inches. Dividing by 13, we find that each of the 13 stripes is 48/13 = 3 9/13 inches.
On a bright, sunny day, Janine is standing 6 feet 3 inches away from the base of a 20-foot-tall flagpole. She notices that her shadow just touches the base of the flagpole. If Janine is exactly 5 feet tall, how long is the shadow of the flagpole at this same time?
First, let’s convert 6 feet 3 inches to feet, so that all measurements are in the same units. Three inches is the same as 3/12 = 1/4 = 0.25 feet, so 6 feet 3 inches is the same as 6.25 feet. Now, we can set up a proportion to represent the scenario: 6.25 feet/5 feet = x/20 feet, where x represents the height of the flagpole's shadow in feet. Cross-multiplying, we find that 5x = 6.25 × 20 = 125 → x = 25 feet.
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