Math Question Help

Question

1.Lisa needs a science mark of 90% to get into her college program. If her term mark is

82% and it is worth 70% of her final mark, is it possible for her to achieve the 90%?

Answer 1

The answer to this question requires an understanding of a WEIGHTED AVERAGE. A weighted average accounts for the percent that one value has on the overall results.

In this problem, 70% (.70) of the final results is 82%; the remaining percent of the final grade (30%) .30 is the grade on the final exam.

If the weighted average of her grade must be 90% then the 30% of the final grade that the final examination contributes must be high enough to bring the total class grade to 90%.

90% = .70(82) + .30(x) where x equals the grade on the final exam.

90% =57.4% + .30x

32.6% = .30 x

X = 109%

Assuming that 100% is the maximum score on the final, the 90% final grade can not be attained.

Answer 2

(0.70)(0.82) + (0.30)(x) = 0.90

Can you solve for x and answer?