Doors for the small cabinets are 19.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 10 feet long?

2 Large doors

Step-by-step explanation:

Step 1

We convert 10 feet to inches

1 foot = 12 inches

10 feet = x

Cross Multiply

x = 10 × 12 inches

x = 120 inches

Doors for the small cabinets are 19.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets.

The length of Large doors = 2.7 × 19.5 inches

= 52.65 inches

Hence, the number of large doors can be cut from a board that is 10 feet long(120 inches long) is

= 120 inches/52.65 inches

= 2.2792022792 doors

Approximately = 2.3 doors

However, the number as to be in whole number, hence, only 2 Large doors can be cut from a board that is 10 feet long(120 inches long)

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step-by-step explanation: