Answer:
6 children
Step-by-step explanation:
Given
[tex]1\ Pencil = \$0.59[/tex]
[tex]1\ Notebook = \$1.09[/tex]
Required
Determine the number of students that can get pencils and notes worth $15
First, we need to calculate the amount that can be allotted to a child
[tex]1\ child= 1\ Notebook + 2\ Pencils[/tex]
[tex]1\ child= 1 * \$1.09 + 2 * \$0.59[/tex]
[tex]1\ child= \$1.09 + \$1.18[/tex]
[tex]1\ child= \$2.27[/tex]
From the given parameters, we have that
[tex]n\ children= \$15[/tex]
Where n is the number of child
Represent both as ratios;
[tex]1 : 2.27 = n : 15[/tex]
Convert to division
[tex]\frac{1}{2.27} = \frac{n}{15}[/tex]
Multiply both sides by 15
[tex]15 * \frac{1}{2.27} = \frac{n}{15} * 15[/tex]
[tex]\frac{15}{2.27} = n[/tex]
[tex]6.608 = n[/tex]
[tex]n = 6.608[/tex]
Because "a child" is discrete, we have to round down the above figure to
[tex]n = 6[/tex]
Hence, the maximum number of children that can be provided with supplies worth $15 is 6
