Percentages + system of equations - practice problems - page 2 of 13
Number of problems found: 243
- Seller 3
A seller wanted to sell 100 cheaper and 50 more expensive mobile phones. The price difference between a cheaper and a more expensive mobile is 30 euros. Originally he wanted to sell each cheaper one at a 20% discount and each more expensive one at a 12% d - Scout troop increase
Last year, there were 30 more boys than girls in our scout troop. This year, the number of children in the ward increased by 10%, while the number of boys increased by 5% and the number of girls increased by 20%. How many children do we have in the depart - Number percentage sum
5% of the first and 4% of the second numbers add up to 46. 4% of the first and 5% of the second numbers add up to 44. What are the numbers? - Worker reward division
The reward of CZK 4,220 was divided among 3 workers in such a way that the second received CZK 400 more than the first, and the third received 30% more than the second. How much did each get? - Forester sapling planting
Foresters planted 2,440 saplings in three days. On the second day, they planted 20% more saplings than on the first day, and on the third day, 15% less than on the first day. How many saplings did the foresters plant each day? - Athletics
160 students (from grammar schools and technical schools) participated in an athletics competition. The proportion of girls from grammar schools was 50%, and the proportion of girls from technical schools was 10%. Determine how many students were from gra - Quadrilateral and angles
In a quadrilateral, angle α is twice as large as angle β. Angle γ is 80% of angle α, and angle δ is 30° greater than angle α. Determine the angles of this quadrilateral. - Tie price calculation
CZK 895 was paid for three ties. A blue tie was 18% more expensive than a gray one, and a brown one was CZK 100 more expensive than a gray one. Calculate the prices of individual ties. - Collection of medicinal plants
A pensioners' club organised a collection of medicinal plants. Two pensioners could not participate in the collection for health reasons, the others decided to collect dead-nettle, elder, and coltsfoot. All three herbs were collected by 7 pensioners, dead - Weekend visitor percentage
The second weekend saw 20% fewer visitors than the first. Over the two weekends, the number of visitors was 27,500. How many visitors came on the second weekend? - Tatra sand transport
Three Tatras transported 22.2 tons of sand. The second Tatra transported 20% more than the first, and the third Tatra 25% more than the second. How much did each Tatra take? - Number percentage ratio The first number is 50% of the second, the second number is 40% of the third, and the third number is 20% of the fourth. The sum of the numbers is 396. Which numbers are these??
- Swimming training pupils
One hundred seventy-one pupils from the second to fourth years of primary school participated in swimming training. How many of them were from the fourth grade if there were 10% more third graders than second graders and 20% more fourth graders than third - Amanda
Amanda borrowed $5000 from two sources: her parents and a credit union. Her parents charged 3% simple interest, and the credit union charged 6% simple interest. After one year, Amanda paid $225 in interest. Thus, Amanda borrowed $5000 from both her parent - Truck material delivery
Two different trucks together would bring the construction material in 6 hours. However, after 4 hours, the first car was transferred to another job, and the second one was driven for another 6 hours. How many hours would it take for the first car to deli - Granddaughters seedling planting
Grandma bought 200 ingredients. Granddaughter Helen planted 20% more than granddaughter Dana. Granddaughter Eve planted 40 more seedlings than Dana. Granddaughter Susan planted 0.8 times more than Dana. How many seedlings did each of the granddaughters pl - Odra river length
The length of the Odra in Moravia is 42% of its length in Poland. The total flow length from the source to the sea is 1165 km. What is the distance in Moravia, and what is the distance in km on the Polish side? - Ball sharing percentage
Three classmates shared 710 balls, so the second got 20% more than the first and the third 35% more than the first. How many balls did the third of them get? - Class girl count
Girls are 12 more than boys, and boys represent 30% of all students. Find how many girls are in the class. - Eighth ninth graders The number of eighth graders in primary school is 80 percent of the number of ninth graders. There are 54 eighths and ninths. How many ninth-graders go to this school?
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