Question

Tucker and his friends buy a jumbo bag of Millicent's Mini Donuts at the fair. They sit at a picnic table to share them. Tucker evenly distributes the donuts onto 12 napkins, one for each person in the group. Each napkin has 5 donuts.

Which equation can you use to find the number of donuts d in the bag?
d+12=5
d-12=5
12d=5
d/12=5
Solve this equation for d to find the number of donuts in the bag.

Answer 1

To find the correct equation for the number of donuts \( d \) in the bag, we can analyze the situation. Tucker distributes the donuts evenly onto 12 napkins, with each napkin containing 5 donuts. Therefore, the total number of donuts can be expressed as:

\[
d = 12 \times 5
\]

Calculating that gives:

\[
d = 60
\]

However, the options provided were equations rather than a direct expression for the total number of donuts. The way to express this division as an equation is to set \( d \) equal to the total number of donuts through a multiplication factor.

From the provided options:

- \( d + 12 = 5 \) does not make sense.
- \( d - 12 = 5 \) is also incorrect.
- \( 12d = 5 \) is incorrect.
- \( \frac{d}{12} = 5 \) is the correct choice because it suggests that if you divide the total number of donuts by 12 (the number of napkins), you would get the number of donuts on each napkin, 5.

Now, let's solve the equation \( \frac{d}{12} = 5 \) for \( d \):

1. Multiply both sides by 12:

\[
d = 5 \times 12
\]

2. Calculate:

\[
d = 60
\]

Thus, the number of donuts \( d \) in the bag is \( 60 \).