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Question:

Ratio problems any help is appreciated.?

1) If 500 sheets of paper weigh 7 lbs, how much do 2 sheets of paper weigh?2) Kathy can type 13 business letters in 2 hrs. At that same rate, how many letters can she type in 8 hrs.?3) the ratio of nickel to copper in a certain alloy is 7 to 4. If 49 grams of nickel are used, how many grams of copper are needed?4) John has worked two weeks at his new job. He just received his first paycheck for $110.50. If John works that same number of hrs per week, how much money will he make in 25 weeks.?

Answer:

1) If 500 sheets of paper weigh 7 lbs, how much do 2 sheets of paper weigh? x/2 7/500 500x 14 x 14/500 .028 lbs .028 lbs(16 oz/lb) .448 oz 2) Kathy can type 13 business letters in 2 hrs. At that same rate, how many letters can she type in 8 hrs.? x/8 13/2 Note that the ratios have the same orientation 13/2 is (13 letters)/(2 hours) x/8 is (x letters)/(8 hours) 2x 8(13) 2x 104 x 52 Use this same approach to the other problems
1. 500 sheet weigh 7 lbs. or 7x16112 ounces. 1 sheet weighs 112/500.224 ounces. 2 sheets .224x2 .448ounces 2. 13 in 2 hrs. 8x13104 in 8 hrs. 3. 7 to 4 49/77 7x428 49 to 28 4. 110.50 in 1 week 25x110.502762.50 2762.50 in 25
Set up the ratios and then solve for the unknown. If you put the units into the equation and cancel them out as appropriate, that serves as a tool to help ensure your ratios are set up correctly. 1. 500/7 2/x 2. 13/2 x/8 3. 7/4 49/x 4. 2/$110.50 25/x
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