Malina has to bowl four games in her league. She bowled a 149, 162, and a 152 in her first three games. She wants to have an average score of 154. What score does she need in her fourth game?

a.152

b.153

c.154

d.155

Respuesta :

(149+162+152+X)/4=154
149+162+152+X=616
X=616-149-162-152=616-314-149=302-149=153
She needs a score of 153.

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Number of games she bowl = 4

Score of her in first three games are

149, 162, 152.

Her average score = 154

Let the score in her fourth game be 'x'.

As we know the formula for "Average ":

[tex]Average=\dfrac{\text{Sum of all observation}}{\text{Total number of observations}}\\\\\\154=\dfrac{149+162+152+x}{4}\\\\\\154\times 4=463+x\\\\\\616=463=x\\\\\\616-463=x\\\\\\153=x[/tex]

Hence, Her score in fourth game is 153.

Therefore, Option 'B' is correct.