D = 8cm H=8cm - Gauthmath

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Question

identical machines in a factory pack 140 crates of apples per day between them.  a) Write the ratio of the number of machines to the number of crates  packed per day in the form 1:n.  b) How many crates of apples would 70 of these machines pack per day?  Give any decimals in your answers to 1 d.p.SHOW LESS183

Solution

user avatar imageAnswera) \(1:3.5\) b) \(245\) cratesExplanationStep 1: To find the ratio of the number of machines to the number of crates packed per day, divide the number of crates by the number of machines. So, the ratio is \(40:140\). Step 2: Simplify the ratio by dividing both terms by their greatest common divisor, which is 40 in this case. Therefore, \( \frac{40}{140} \) simplifies to \( \frac{1}{3.5} \). Step 3: The ratio in the form \( 1:n \) is \( 1:3.5 \). Step 4: To find out how many crates \( 70 \) machines would pack per day, multiply the number of crates per machine by the number of machines. So, \( 70 \times 3.5 = 245 \) crates. Therefore, the ratio is \( 1:3.5 \) and \( 70 \) machines would pack \( 245 \) crates per day.Click to rate:94.1(436 votes)Search questionBy textBy image/screenshotDrop your file here orClick Hereto upload

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