Question

A bakery wants to sell 95 dozen cookies this week. The graph shows the number of cookies the bakery sells Monday through Friday. Monday: 2 cookies, Tuesday 4 cookies, Wednesday: 3 Thursday: 5 Friday: 6. How many dozens of cookies must the bakery sell Saturday and Sunday to reach its goal?

Answer 1

First, we need to determine how many cookies the bakery has sold from Monday through Friday.

The sales are as follows:
- Monday: 2 cookies
- Tuesday: 4 cookies
- Wednesday: 3 cookies
- Thursday: 5 cookies
- Friday: 6 cookies

Now, let's calculate the total number of cookies sold from Monday through Friday:

\[
2 + 4 + 3 + 5 + 6 = 20 \text{ cookies}
\]

Next, we need to find out how many cookies the bakery needs to sell in total to reach its goal of 95 dozen cookies.

Since 1 dozen equals 12 cookies, the total number of cookies the bakery aims to sell is:

\[
95 \text{ dozen} \times 12 \text{ cookies/dozen} = 1140 \text{ cookies}
\]

Now, we will determine how many more cookies need to be sold over the weekend (Saturday and Sunday) by subtracting the cookies sold (20) from the total goal (1140):

\[
1140 - 20 = 1120 \text{ cookies}
\]

Finally, since we want to find out how many dozens of cookies this represents, we divide by 12:

\[
\frac{1120 \text{ cookies}}{12 \text{ cookies/dozen}} = 93.33 \text{ dozens}
\]

Since the bakery cannot sell a fraction of a dozen, they would need to sell at least 94 dozens of cookies over the weekend to reach or exceed their goal.

In summary, the bakery needs to sell **94 dozens of cookies** on Saturday and Sunday to reach its goal of 95 dozen cookies for the week.