Question

Victor is at the art store and wants to buy a box of markers with the most number of markers to donate to a school in Haiti. The Crayola box is 2 3⁄4 inches wide and each marker is 1⁄4 inch wide. The Sharpie box is 3 3⁄5 inches wide and each marker is 4/10 inch wide. Which box of markers should Victor buy?

Answer 1

Since the Crayola box contains more markers that should be the right choice.

Explanation:

In order to calculate the number of markers each box contains, we need to divide the width of the box by the width of the markers for each box and compare their numbers. Since the lengths are given in mixed fractions, we will first convert them to pure fractions.

For Crayola:

`\text{box width} = 2 + (3)/(4) = (8)/(4) + (3)/(4) = (11)/(4) \text{ inches}`

`n = ((11)/(4))/((1)/(4)) = 11`

For the Sharpie:

`\text{box width} = 3 + (3)/(5) = (15)/(5) + (3)/(5) = (18)/(5) \text{ inches}`

`n = ((18)/(5))/((4)/(10)) = (18*10)/(5*4) = (180)/(20) = 9`

Since the Crayola box contains more markers that should be the right choice.