Question

1. In a certain game, it is advantageous to have in- game friends who visit you daily. Player A has 150 in-game friends, and 45 of them visit her daily. a. What percent of her friends visit her daily? b. How many more friends need to visit her daily if her goals is to have 70% of her friends visit her daily?

Answer 1

Answer:

(a)30%

(b)60 more friends

Explanation:

The number of in-game friends Player A has = 150.

The number that visits daily = 45.

Part A

The percent of her friends that visit her daily will be:

$\begin{gathered} \frac{\text{Number of daily visits}}{Total\text{ number of in-game friends}}\times100 \\ =\frac{45}{150}\times100 \\ =0.3\times100 \\ =30\% \end{gathered}$

30% of her friends visit her daily.

Part B

• If her goal is to have 70% of her friends visit her daily.

,

• Let the number of additional friends = x.

Therefore:

$\begin{gathered} \frac{x+45}{150}\times100=70 \\ \mleft(x+45\mright)\times\frac{100}{150}=70 \\ Multiply\text{ both sides by }\frac{150}{100} \\ (x+45)\times\frac{100}{150}\times\frac{150}{100}=70\times\frac{150}{100} \\ x+45=105 \\ x=105-45 \\ x=60 \end{gathered}$

Therefore, if her goal is to have 70% of her friends visit her daily, she needs 60 more friends to visit her daily.