System of equations - math word problems - page 74 of 107
Number of problems found: 2135
- Three shapes
1/5 of a circle is shaded. The area's ratio of a square and the sum of a| rectangle and the circle is 1:2. 60% of the square is shaded, and 1/3 of the rectangle is shaded. What is the ratio of the area of the circle to that of the rectangle? - Guess a fraction
Tom was asked to guess a fraction. The sum of 1/2 of the numerator and 1/3 of its denominator is 30. If Tom subtracts 36 from its denominator, the fraction becomes 1/3. What is the fraction that Tom was asked to guess? (Leave your answer in the simplest f - Worker reward
Three workers received a reward of €2,850 for their work. They divided them according to their performance so that the first received 20% less than the second and the third received €50 more than the second. How many euros did each person receive? - Oil shipment
The auto parts store received a shipment of 30 pieces of motor oil for €396. More expensive oil costs €15, cheaper €12. How many amounts of more expensive and cheaper oil were in the shipment? - Student meals
Out of 129 1st-year students, 116 students go to lunch or dinner regularly, and 62 students go to one of these meals at most. At the same time, 47 students go to lunch more than to dinner. How many students go to lunch and dinner, how many go to dinner, a - Crown coins
Jana saves two-crown and five-crown coins. She has 32 coins in the cashier. How many two crowns and how many five crowns would she have if she saved 145 crowns? - Trees - orchard
The 3/5 trees are apple trees, and 1/3 of the trees are cherries. The remaining five trees are pear trees. How many trees are in the orchard? - Apple varieties cost Mrs. Bartova is buying apples. The Bohemia variety is CZK 4 more expensive per kilogram than the Golden variety. Mrs. Bartova bought 10 kg of Golden and 15 kg of Bohemia. She paid a total of 360 kc. How many crowns did the individual types of apples cost?
- Banknotes count
Mr. Novák has 20 banknotes in his wallet and 6100 crowns. Some banknotes have a value of CZK 200. Some have a value of CZK 500. How many two-hundred-crown bills does Mr. Novák have in his wallet? - Vehicle assembly
You have 36 wheels and ten steering wheels. How many cars and motorcycles do you assemble? - Diamond diagonals
Calculate the diamond's diagonal lengths if its area is 156 cm² and the side length is 13 cm. - Nice prism
Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm. - Grandfather
The grandfather is three years older than the grandmother. The average age of the grandmother, the grandfather, and their seven grandchildren is 28. The grandchildren have a total of 105 years. Calculate how old grandfather is. - Reading pages
Tomáš and Lukáš read the same book. Tomas read 21 pages a day and read it one day earlier than Luke, who read 18 pages a day. How many pages did the book have? - Prices prices
Factory reduced the meter of the textile by CZK 42, so 4 meters of the new price was 20 CZK cheaper than 3 meters of the original price. What was the original and new price of the textile? - Two workers
Two workers make 138 parts/items. The first one produces 30% more than the second. How many items will each produce? - Every day 7 pages
Anelka reads the book seven pages every day. When she reads one more page a day, she will read it three days earlier. How long will Adelka read a book? How much does a book of pages have? - Plot
The length of the rectangle is 8, smaller than three times the width. If we increase the width by 5% of the length and the length is reduced by 14% of the width, the circumference of the rectangle will be increased by 30 m. What are the dimensions of the - Linear function
What is the equation of linear function passing through points: a) A (0,3), B (3,0) b) C (-2,-6), D (3,4) - Function intersection Determine the intersection of functions. a) y = 2x + 3, y = -x + 4 b) y = 3x + 7, y = -2x-3
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