Question

A baker buys a 5lb bag of suger. She uses 1 and 2/3 lb to make muffins and 2 and 3/4 lb to make a cake. How much suger does she have left?

Answer 1

Answer: 7/12 lbs

A baker buys a 5 lb bag of sugar. She uses 1 2/3 lb to make some muffins and 2 3/4 lb to make a cake. How much sugar does she have left?

Answer 2

There are $\frac{7}{12}$ lbs sugar left.

Further Explanation

Given:

Total sugar = 5 lbs

She uses:

$1\frac{2}{3}$ for muffin

$2\frac{3}{4}$ for a cake

Question:

How much sugar does she have left?

Sugar left = Total sugar - Sugar used

$\boxed {= 5 - (1\frac{2}{3} + 2\frac{3}{4}) }\\\boxed {= 5 - (3 (\frac{2}{3} + \frac{3}{4}) }\\ \boxed {= 5 - (3 (\frac{8+9}{12})) } \\\boxed {= 5 - 3 \frac{17}{12} }\\\boxed {= 5 - 4 \frac{5}{12} }\\\boxed {= 5-4-\frac{5}{12} }\\ \boxed { = 1- \frac{5}{12} }\\\boxed { = \frac{7}{12} }$

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