#### Didn’t find what you are looking for?

Question # Alex wants to calculate his term mark in mathematics. It is to be based on 6 assignments, all equally weighted. He scored 82%,74%,66%, 83%, and 75% on his first five assignments. What mark will Alex need on his sixth assignments in order to achieve a term mark of 80%?

Ratios, rates, proportions
ANSWERED Alex wants to calculate his term mark in mathematics. It is to be based on 6 assignments, all equally weighted. He scored 82%,74%,66%, 83%, and 75% on his first five assignments. What mark will Alex need on his sixth assignments in order to achieve a term mark of 80%? 2021-03-03
Let x be the score he needs to receive on the sixth assignment. If the needs a mean score of 80%, then:
mean score=sun of his scores/number of scores/number
$$\displaystyle{80}\%=\frac{{{82}\%+{74}\%+{66}\%+{83}\%+{75}\%+{x}}}{{6}}$$
$$\displaystyle{80}\%=\frac{{{380}\%+{x}}}{{6}}$$
480%=380%+x
100%=x
He must then score 100% on his sixth assignment to achieve an 80% for the the term.