Question

Anna bought 3/4 pound of brown sugar .She used 2/5 of it to bake a cake. then she ate 1/4 of the cake. did she eat more than 1 1/2 ounces of brown sugar?( one pound is 16 ouncea.)

Answer 1

Anna ate less than 1 1/2 ounces of brown sugar.

Step-by-step explanation:

To determine if Anna ate more than 1 1/2 ounces of brown sugar, we need to find out how much brown sugar she used in the cake and how much she ate.

Anna bought 3/4 pound of brown sugar.

She used 2/5 of it to bake a cake.

2/5 of 3/4 pound = (2/5) x (3/4) pound = 6/20 pound = 3/10 pound.

Then she ate 1/4 of the cake.

1/4 of 3/10 pound = (1/4) x (3/10) pound = 3/40 pound.

Now we need to convert pounds to ounces since the given value is in ounces.

1 pound is equal to 16 ounces.

So, 3/40 pound is equal to (3/40) x 16 ounces = 3/5 ounce.

Therefore, Anna ate less than 1 1/2 ounces of brown sugar.

Answer 2

First let's find the amount of sugar used for the cake.

If she bought 3/4 pound and used 2/5 of this, she used:

`(2)/(5)\cdot(3)/(4)=(3)/(10)`

So she used 3/10 pound for the cake. If she ate 1/4 of the cake, we have the following product for the amount of sugar she ate:

`(1)/(4)\cdot(3)/(10)=(3)/(40)`

So she ate 3/40 pound of sugar. Converting this amount to ounces, we have:

`(3)/(40)\cdot16=(3)/(5)\cdot2=(6)/(5)=1(1)/(5)`

1 1/5 ounces is less than 1 1/2 ounces, so the answer is no, she didn't eat more than 1 1/2 ounces of brown sugar.