Lee made a scale drawing of a city. The scale of the drawing was 1 inch : 8 yards. The actual length of a neighborhood park is 96 yards. How long is the park in the drawing? inches
Question
Lee made a scale drawing of a city. The scale of the drawing was 1 inch : 8 yards. The actual length of a neighborhood park is 96 yards. How long is the park in the drawing? inches
Solution
To solve this problem, we need to set up a proportion using the scale provided and the actual length of the park.
The scale is 1 inch : 8 yards.
We know the actual length of the park is 96 yards.
So, we set up the proportion as follows:
1 inch/8 yards = X inches/96 yards
To solve for X (the length of the park in the drawing), we cross-multiply:
1 inch * 96 yards = 8 yards * X inches
This simplifies to:
96 inches = 8X
Then, divide both sides by 8 to solve for X:
X = 96 inches / 8 = 12 inches
So, the length of the park in the drawing is 12 inches.
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