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Active dry yeast and bread machine yeast were not available in stores during the coronavirus pandemic. Fleischmann’s attempted to staff two shifts to produce enough active dry yeast to put some yeast back on the market. If the first shift produced 2 1/5 times as many yeast packets as the second shift, and 6,240 packets of yeast were produced during the month, how many packets of yeast were produced on each shift?

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sqdancefan

Answer:

  • First shift: 4290
  • Second shift: 1950

Step-by-step explanation:

You want the numbers of packets of yeast produced on each shift if a total of 6240 packets were produced, and first shift produced 2 1/5 times as many as second shift.

Ratio

You could write and solve a pair of linear equations for the numbers produced on each shift, or you can consider the ratio of packets produced:

  1st/2nd = (2 1/5)/1 = 11/5

The fraction of the total produced by first shift is 11/(11+5). Then the number produced by first shift is ...

  6240 × 11/(11+5) = 4290

And the number produced by second shift is ...

  6240 -4290 = 1950

First shift produced 4290 packets; second shift produced 1950 packets.

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Additional comment

A system of equations might be ...

  f + s = 6240
  f - 2.2s = 0

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