Question

marias first four test scores were 60, 90, 90, and 70. what does she need to make on the fifth test to maintain a 70 average?
select one:
a. 40
b. 100
c. 80
d. 90

evaluate $3\frac{1}{4}+2\frac{1}{3}$.
select one:
a. $5\frac{1}{12}$
b. $7\frac{2}{7}$
c. $5\frac{7}{12}$
d. $12\frac{1}{5}$

Explanation:

First Problem:

Step1: Calculate total for 70 average

Total score needed = $70 \times 5 = 350$

Step2: Sum first four scores

Sum = $60 + 90 + 90 + 70 = 310$

Step3: Find fifth test score

Fifth score = $350 - 310 = 40$

Step1: Convert to improper fractions

$3\frac{1}{4} = \frac{13}{4}$, $2\frac{1}{3} = \frac{7}{3}$

Step2: Find common denominator (12)

$\frac{13}{4} = \frac{39}{12}$, $\frac{7}{3} = \frac{28}{12}$

Step3: Add the fractions

Sum = $\frac{39}{12} + \frac{28}{12} = \frac{67}{12}$

Step4: Convert back to mixed number

$\frac{67}{12} = 5\frac{7}{12}$

Answer:

a. 40

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Second Problem: