Percentages + system of equations - practice problems - page 5 of 13

Number of problems found: 243

Paper collection calculation
In the eighth grade, the children gathered up 850 kg of paper. Class 8 A collected 50 kilograms more than 8B. Class 8 C collected 200% of what class 8 A is. How much paper did each class collect?
School pupil distribution
588 pupils attend the school. There are 10% more girls than boys. How many boys and how many girls are there?
Earnings distribution calculation
John, Paul, Peter, and Jan earned 42 thousand. John and Paul have the same. Peter is 20% more than Paul. George was one-fifth less than Paul. How much did everyone earn?
Grade pupil distribution
There are 59 pupils in the 9th grade. In 9 A, there are 15% more pupils than in 9B. In 9 C, there are 20% fewer than in 9B. How many pupils are in individual classes?
Contestants
The three best contestants will divide the total prize of CZK 4,200. The second gets 20% more than the third, and the first gets 200 CZK less than the second and third together. Thus, the total prize will be CZK 4,200.
In the classroom
There are 30 boys and a few girls in the class. In the six months, 28 boys and all girls benefited, which was 95% of all pupils. How many pupils are there in the classroom?
Grain harvest calculation
The cooperative farmers harvested 300 tons of grain. Wheat was 25% more than oats, and rye was 96 tons less than wheat and oats combined. How many tons of wheat, rye, and oats did the cooperative harvest?
Tree ratio calculation
There are pears, apples, and cherries in the alley. There are a total of 1,075 trees. Pear is twice as much as apple, and cherry is 30% more than apple. How many trees are there?
Solution mixing calculation
How many grams of 80% solution and 55% solution do we need to mix to obtain 100 grams of 60% solution?
Pavel 3
Pavel has deposits in two accounts: one in a current account with an annual interest rate of 2% and the other in a savings account with an annual interest rate of 4%. Together, both deposits earned him 1,000 CZK per year. If Pavel swapped the deposits bet
Solution concentration calculation
If we mix 4 l and 6 l of differently concentrated salt solutions, we get a 12% solution. If we use 6 l of the first and 4 l of the second solution, we get a 13% solution. What is the concentration of each solution?
Czechoslovakia - area
Slovakia has an area 38% smaller than the Czech Republic. Original Czechoslovakia had an area of 128,000 square kilometers. What are the areas of both states?
Orchard tree calculation
The orchard contained 50% cherries, two-fifths apple trees, and five pear trees. How many trees were there?
Worker production calculation
Two workers produce 138 parts in one shift. At the same time, the first of them produces 30% more than the second. How many components will each have? I need a notation and an equation.
Two accounts
Two bank accounts earn interest at 2% and 3% per year respectively. The total annual interest income is $1,900. If the interest rates were swapped between the accounts, the yield would be $200 higher. What are the amounts in each account?
The percent 2
The percent return rate of a growth fund, income fund, and money market are 10%, 7%, and 5%, respectively. Suppose you have 3200 to invest and want to put twice as much in the growth fund as in the money market to maximize your return. How should you inve
Class boy girl
75% of boys are boys. If four boys came to class, the number of boys would equal the number of girls. How many girls are in the class?
The farm
The farm harvested 390 tons of grain. Wheat was 15% more than barley, and rye was 126 tons less than wheat and barley combined. How many tons of wheat, how many tons of barley, and how much rye did the team get?
Together m+w
Women are 30%. Men are 360 more. How many are together?
Students
If the fifth-grade class left 20% of students and in the seventh grade were added two pupils, in the eighth one pupil, the number has not changed in the ninth grade, but it is now tenth students less than it was in the fifth grade. How many pupils are in

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