While taking inventory at her pastry shop, Emilia realises that she had 9/10 of a box of baking powder yesterday, but the supply is now down to 1/6 of a box. How much more baking powder did Emilia have yesterday?
Question
While taking inventory at her pastry shop, Emilia realises that she had 9/10 of a box of baking powder yesterday, but the supply is now down to 1/6 of a box. How much more baking powder did Emilia have yesterday?
Solution
To find out how much more baking powder Emilia had yesterday, we need to subtract the amount she has today (1/6 of a box) from the amount she had yesterday (9/10 of a box).
Step 1: Convert the fractions to have the same denominator. The least common multiple of 10 and 6 is 30, so we'll convert both fractions to have this denominator.
9/10 becomes 27/30 (because 9 * 3 = 27 and 10 * 3 = 30) 1/6 becomes 5/30 (because 1 * 5 = 5 and 6 * 5 = 30)
Step 2: Subtract the fraction representing today's amount from the fraction representing yesterday's amount.
27/30 - 5/30 = 22/30
Step 3: Simplify the fraction. Both 22 and 30 can be divided by 2.
22/30 = 11/15
So, Emilia had 11/15 of a box more baking powder yesterday than she does today.
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