Carlin is making art gift bags. Each gift bag contains a sketchbook, 5 markers, and 12 colored pencils. She has 10 sketchbooks, 45 markers, and 100 colored pencils to use making gift bags. How many gift bags can she make? How many sketchbooks, markers, and colored pencils will she have left after making the gift bags?
Carlin can make ____ gift bags. After making the gift bags she will have ____ sketchbooks, ____ markers, and ____ colored pencils left over.
To find out how many gift bags Carlin can make, we need to determine the limiting factor among the items she has: sketchbooks, markers, or colored pencils. The limiting factor is the item she has the fewest of.
Given:
- Carlin has 10 sketchbooks.
- Carlin has 45 markers.
- Carlin has 100 colored pencils.
We can calculate the number of gift bags using the limiting factor, which is the sketchbooks in this case. Each gift bag requires 1 sketchbook, 5 markers, and 12 colored pencils. Since we can only use as many sketchbooks as we have, we divide the number of sketchbooks by 1 to determine the number of gift bags:
Number of gift bags = Number of sketchbooks / 1
Number of gift bags = 10 sketchbooks / 1 = 10 gift bags
So Carlin can make 10 gift bags.
Now, let's calculate the remaining quantities of sketchbooks, markers, and colored pencils:
Sketchbooks remaining = Total number of sketchbooks - Number of sketchbooks used
= 10 - 10
= 0 sketchbooks
Markers remaining = Total number of markers - Number of markers used
= 45 - (5 markers per gift bag x 10 gift bags)
= 45 - 50
= -5 markers
Colored pencils remaining = Total number of colored pencils - Number of colored pencils used
= 100 - (12 colored pencils per gift bag x 10 gift bags)
= 100 - 120
= -20 colored pencils
After making the gift bags, Carlin will have 0 sketchbooks, -5 markers (which means she needs 5 more markers to meet the requirements), and -20 colored pencils (which means she needs 20 more colored pencils to meet the requirements).