Question

Izzy orders gloves for the 36 players on the teams combined. Izzy estimates that 10% of the players are left-handed, so he orders 3 left-handed gloves. Is that enough? Explain.If there are actually 7 left-handed players on both teams, what is the percent error of Izzy’s order? Round to the nearest whole percent

Answer 1

36 gloves represent 100%.

To find how many gloves represent 10%, we can use the next proportion:

`\frac{36\text{ gloves}}{x\text{ gloves}}=\frac{100\text{ \%}}{10\text{ \%}}`

Solving for x:

`\begin{gathered} 36\cdot10=100\cdot x \\ (360)/(100)=x \\ 3.6=x \end{gathered}`

This result indicates that 3 gloves are less than 10%, so she should have ordered 4 gloves.

The percent error is computed as follows:

`\text percent error = \frac{\text{ approx}imate\text{ value - exact value}}{\text{ exact value}}|\cdot100`

Substituting with data:

`\begin{gathered} \text percent error = (3-7)/(7)|\cdot100 \\ \text percent error = (-4)/(7)|\cdot100 \\ \text{ percent error = }(4)/(7)\cdot100 \\ \text{ percent error }\approx\text{ }57\text{ \%} \end{gathered}`