Monday, October 30, 2017

Finding a total using ratios

On the homework there is a problem where you have to use a ratio to find the yards each person ran, with the total yards ran being 150.  Here is an example of how to do that.

Scott is stronger than Shawn.  They have a goal to lift 500 pounds together.  Scott is 1 1/2 time stronger than Shawn, meaning for every 3 pounds that Scott can lift, Shawn can lift 2.  The ratio of their lifts are 3 to 2, or 3/2 as a fraction.  Here is how to solve who lifts how much weight.


When we add their weights lifted together, we need to reach 500 pounds.  If they were to lift the same about, that would be 250 pounds, or a 1 to 1 ratio.  As it is, for every 3 pounds Scott lifts, Shawn can lift 2.     This is a total of 5 lbs. We have to use an equivalent ratio.  If we multiply this by 100, they would lift 500 pounds.

3 x 100  = 300
2 x 100     200

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