Question

After three assignments, Matt’s average score is 83%. After two assignments, it was 88%. What was Matt’s score on assignment 3?

Answer 1

Answer:

73%

Step-by-step explanation:

Matt’s average score of three assignments  is 83%.

$Average = \frac{\text{Sum of three assignments score}}{3}$

$\frac{83}{100} = \frac{\text{Sum of three assignments score}}{3}$

$\frac{83}{100} \times 3=\text{ Sum of three assignments score}$

After two assignments, it was 88%.

$Average = \frac{\text{Sum of two assignments score}}{2}$

$\frac{88}{100} = \frac{\text{Sum of two assignments score}}{2}$

$\frac{88}{100} \times 2= \text{Sum of two assignments score}$

Matt’s score on assignment 3 = Sum of three assignments score-Sum of two assignments score

Matt’s score on assignment 3 = $\frac{83}{100} \times 3-\frac{88}{100} \times 2$

Matt’s score on assignment 3 = $\frac{73}{100}$

Matt’s score on assignment 3 = 73%

Hence Matt’s score on assignment 3 is 73%