# Geography tests

On three 150-point geography tests, you earned grades of 88%, 94%, and 90%. The final test is worth 250 points. What percent do you need on the final to earn 93% of the total points on all tests?

Result

p =  97.2 %

#### Solution:

$\ \\ e_{ 1 } = 150 \cdot \ \dfrac{ 88 }{ 100 } = 132 \ \\ e_{ 2 } = 150 \cdot \ \dfrac{ 94 }{ 100 } = 141 \ \\ e_{ 3 } = 150 \cdot \ \dfrac{ 90 }{ 100 } = 135 \ \\ \ \\ \dfrac{ p }{ 100 } \cdot \ 250+e_{ 1 }+e_{ 2 }+e_{ 3 } = \dfrac{ 93 }{ 100 } \cdot \ (3 \cdot \ 150+250) \ \\ \ \\ b = \dfrac{ 93 }{ 100 } \cdot \ (3 \cdot \ 150+250) - e_{ 1 } -e_{ 2 } - e_{ 3 } = \dfrac{ 93 }{ 100 } \cdot \ (3 \cdot \ 150+250) - 132 -141 - 135 = 243 \ \\ \ \\ p = 100 \cdot \ \dfrac{ b }{ 250 } = 100 \cdot \ \dfrac{ 243 }{ 250 } = \dfrac{ 486 }{ 5 } = 97.2 = 97.2 \%$

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! #### Following knowledge from mathematics are needed to solve this word math problem:

Our percentage calculator will help you quickly calculate various typical tasks with percentages. Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

## Next similar math problems:

1. Test points If you earned 80% of the possible 40 points, how many points did you miss to get 100%? 55%+36%+88%+71%+100=63% what is whole (X)? Percents can be added directly together if they are taken from the same whole, which means they have the same base amount. .. . You would add the two percentages to find the total amount.
3. Fifth of the number The fifth of the number is by 24 less than that number. What is the number?
4. Highway repair The highway repair was planned for 15 days. However, it was reduced by 30%. How many days did the repair of the highway last?
5. Mom and daughter Mother is 39 years old. Her daughter is 15 years. For many years will mother be four times older than the daughter?
6. Sales off The price has decreased by 20%. How many percents do I have to raise the new price to be the same as before the cut?
7. Reducing number Reducing the an unknown number by 28.5% we get number 243.1. Determine unknown number.
8. Walnuts x walnuts were in the mission. Dano took 1/4 of nuts Michael took 1/8 from the rest and John took 34 nuts. It stayed here 29 nuts. Determine the original number of nuts.
9. The ball The ball was discounted by 10 percent and then again by 30 percent. How many percent of the original price is now?
10. Sale discount The product was discounted so that eight products at a new price cost just as five products at an old price. How many percents is the new price lower than the old price?
11. Girls The children's competition was attended by 63 girls, which is 30% of all children's participants. How many children attended this competition?
12. Pupils There are 350 girls in the school, and the other 30% of the total number of pupils are boys. How many pupils does the school have?
13. Cinema tickets Cinema sold 180 tickets this Thursday, which is 20%. Monday 14%, Tuesday 6%, Wednesday 9%, Friday 24%, Saturday 12%, and Sunday 15%. How many tickets were sold per week?
14. Sale off Product cost 95 euros before sale off. After sale off cost 74 euros and 10 cents. About what percentage of produt became cheaper?
15. Profit gain If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
16. The price The price of the land increased by 17%. What was the original price of the land if it now costs 46800 €?
17. Competitors In the first round of slalom fell 15% of all competitors and in the second round another 10 racers. Together, 40% of all competitors fell. What was the total number of competitors?