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?
To find out how many gift bags Carlin can make, we need to determine the limiting factor — the item she has the fewest of. In this case, it is the sketchbooks.
Step 1: Determine the number of gift bags based on sketchbooks:
Carlin has 10 sketchbooks, and each gift bag requires 1 sketchbook. Therefore, she can make a maximum of 10 gift bags.
Step 2: Determine the remaining items after making the gift bags:
Sketchbooks: Carlin used 10 sketchbooks to make the gift bags, so she will have 10 - 10 = 0 sketchbooks remaining.
Markers: Each gift bag contains 5 markers, and Carlin has 45 markers. To find out how many markers are used for the gift bags, we need to multiply the number of gift bags by the markers per gift bag: 5 markers/gift bag * 10 gift bags = 50 markers. Therefore, Carlin will have 45 - 50 = -5 markers remaining. This implies that she doesn't have enough markers to make the desired number of gift bags.
Colored pencils: Each gift bag contains 12 colored pencils, and Carlin has 100 colored pencils. Similar to the markers, we need to multiply the number of gift bags by the colored pencils per gift bag: 12 colored pencils/gift bag * 10 gift bags = 120 colored pencils. Therefore, Carlin will have 100 - 120 = -20 colored pencils remaining. This implies that she doesn't have enough colored pencils to make the desired number of gift bags.
In conclusion:
Carlin can make a maximum of 10 gift bags. However, she will not have any sketchbooks, markers, or colored pencils left after making the gift bags. She needs to acquire more markers and colored pencils if she wants to make more gift bags.