3 3 2. Andrea bought 12 bagels and 10 muffins at the bakery. Of these items, of the bagels were multigrain, and of the muffins were bran muffins. 12a. How many multigrain bagels…

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asked Dec 3, 2023 154k views

1 Answer

LMG · Answer 1 · 2023-12-09T02:53:52+0000

12a)

Since there are 2/3 of multigrain bagels of 12 bagels, we can apply the rule of three:

$\begin{gathered} 12\text{ bagels ----- }(3)/(3) \\ x\text{ ---------- }(2)/(3) \end{gathered}$

where x denote the multigrain bagels. Then, x is given by

$\begin{gathered} x=((2)/(3)*12)/((3)/(3)) \\ \sin ce\text{ 3/3 is one, } \\ x=(2)/(3)*12 \end{gathered}$

Then, we have

$\begin{gathered} x=(2*12)/(3) \\ x=2*4 \\ x=8 \end{gathered}$

and the answer is 8 multigrain bagels.

12b)

Similarly, we can apply the rule of three as

$\begin{gathered} 10\text{ muffins ----- }(5)/(5) \\ y\text{ ---------- }(3)/(5) \end{gathered}$

where y denotes the bran muffins. Then y is given by

$\begin{gathered} y=((3)/(5)*10)/((5)/(5)) \\ \sin ce\text{ 5/5 is one, then} \\ y=(3)/(5)*10 \end{gathered}$

So, we have

$\begin{gathered} y=(3*10)/(5) \\ y=3*2 \\ y=6 \end{gathered}$

and the answer is 6 bran muffins.