Lila decided to make more baked goods for the bake sale. She used 1/8 less flour to make bread to make cookies. She used 1/4 more flour to make cookies than to make brownies. If she used 1/2 of flour to make the bread, how much flour did she use to make the brownies. Explain your answer.

3/7 cup

Step-by-step explanation:

Ignore the units for the time being. Just to give it units, you could call it cups. This question is really about ratios.

Let the cookies = x

Then the bread = x - 1/8 x = 7/8x

The brownies = cookies - 1/4 cookies

The brownies = 3/4 cookies = 3/4 x

Now start again.

The bread uses 1/2 cup.

That translates into 1/2 = 7/8 x

x = 1/2 // 7/8 = 4/7 cup for the cookies    (4/7 is larger than 1/2)

Whatever the cookies are, the brownies take 3/4 as much

4/7 * 3/4 = 12/28 = 3/7

The answer should be 3/7 of a cup.

9514 1404 393

  3/8 lb

Step-by-step explanation:

If all units are pounds, then we have ...

  bread = cookies - 1/8 lb

  cookies = brownies + 1/4 lb

  bread = 1/2 lb

Using the last value in the first equation, we find ...

  1/2 lb = cookies - 1/8 lb

  cookies = 5/8 lb . . . . . . . add 1/8 lb to both sides

Using this in the second equation gives ...

  5/8 lb = brownies + 1/4 lb

  3/8 lb = brownies . . . . . subtract 1/4 lb from both sides

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Lila used 3/8 lb of flour to make the brownies.

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