Question

17.So far this basketball season. Sherita made 46 of her
first 60 free throws, giving her a free-throw average of
about 76.7%. What is the minimum number of free
throns she would need to make from now on in order
to have a free-throw average of at least 80%?

Answer 1

Given:

• Sherita made 46 of her first 60 free throws in a basket ball season.
• Average of those 46 throws is 76.7%.

To determine:

The minimum number of free throws she needs to make from now, to have a free-throw average of 80%.

To be recollected:

• Average: Average is the ratio of sum of quantities to the number of quantities.
• Percentage: Percentage is the ratio of a number expressed as a fraction of 100. This can be explained by an example:

Let a number be "$x$". 50% of "$x$" is given by $(50/100)x$.

Answer:

Total number of free throws = $60$

Number of free throws made = $46$

As per the given data, percentage of the free throws completed =$76.7$%

This is calculated in the following manner:

$=(46/60)*100\\=4600/60\\=76.666$

≅$76.7$%

Now,

The extra number of throws to make the average free throw percentage as  80% should be calculated.

From the given data, $76.7$% of $60$ is $46$.

In the similar manner, 80% of the $60$ throws is calculated as:

$=(80/100)*60\\=8*6\\=48$

⇒80% of the 60 throws is 48.

⇒The number of the extra free throws needed to make the free throw average as 80% is obtained by subtracting the the free throws of 76.7% from the free throws of 8%.

$=48-46\\=2$

∴ The number of extra free throws required to reach the 80% is " $2$".

Answer 2

Answer:

46/60 =76.6%

x/60=80% x = 48

difference 2