Question

Tyra has 12 cups of sugar. If r is the amount of sugar called for in one batch of cookies, the expression 12 , +r can be used to find how many batches Tyra can make with the sugar she has. If ris cup, how many batches of cookies can Tyra make? 3 Enter your answer in the box. batches

Answer 1

19

1) Gathering the data

Tyra -----> 12 2/3 cups of sugar

r (amount of sugar) ------> 1 batch of cookies

12 2/3 ÷ r How many batches

r = 2/3 cups

2) Let's solve this problem by plugging into this expression 12 2/3 ÷ r the value of r

Let's turn this mixed number into an improper fraction, keeping the denominator and multiplying it by the whole number and then add to the numerator.

`12(2)/(3)\text{ =}((3*12+2))/(3)=(38)/(3)`

Now we can divide it:

`\begin{gathered} (38)/(3) \\ ((38)/(3))/((2)/(3))=(38)/(3)*(3)/(2)=(38)/(2)=19 \end{gathered}`

3) Hence, the number of batches Tyra can make is 19