Algebra - math word problems - page 133 of 277
Algebra is a branch of mathematics that uses not only numbers and characters but also letters to solve operations. For example 3x+5x is 8x.Number of problems found: 5532
- Distances 64024
Eleven trees are planted on the street at equal distances. If they planted three more trees, the spaces between them would be 12 m shorter. What is the distance in meters between the first and the last tree? - Distinguished 37083
Three circles of the same size are drawn on the playing field. Arrange the 16 pins so that there are 9 pins in each circle. Find at least eight significantly different layouts, i.e. J. such layouts in which pins or circles are not distinguished. - Savings 31311
Petr spent a fifth of his savings on a compact disc and 25% on a book on nature. He has 550 CZK left. How many crowns did Petr save? - Kilometers 22721
Pupils walked 49 km in three days. The next day they ran 20% more than the first day, and on the third day, they ran 2 km less than the second. How many kilometers have they traveled each day?
- Consumption 18743
With the consumption of 0.4 t of coal per day, the supply lasts for 36 days. How many days will the supply be enough if 16 kg of coal is used less daily? - Harvested 17623
The farmer managed to increase wheat yield per hectare by 0.4 tons by improving the soil, so he harvested 140 tons of wheat from 25 ha. What was the original yield per hectare? Please round the result to one decimal place. - Weighing 8299
In the second truck, the load was 20% heavier than in the first, and in the third, the load weight was 20% less than in the second. In total, the trucks carried a load weighing 15.8 tons. How much did each cost weigh? - Opportunity 7908
The school director announced that of the 250 children attending the school, every fifth student has the opportunity to participate in the excursion. Then 18% of boys and 23% of girls went on an excursion. Determine how many boys and how many girls attend - Incorrectly 7492
The test has 50 questions. Four points are counted for each correct answer, 3 points are deducted for an incorrect answer, and 2 points are deducted for an unanswered question. Peter scored 108 points on the test but answered only 6 questions. How many qu
- Daffodils 5765
The gardeners planted 1,100 flowers. Pansy is 280 less than tulips, and daffodils are 40 more than pansies. a) how many flowers did they plant? b) of the planted flowers, 5% of tulips and 2% of daffodils dried up. How many flowers continued to grow? - Production 4704
The monthly production schedule of the two companies totaled 360 machines. When the first company met its plan at 105% and the second at 117%, the two companies produced 402 machines. Determine the original monthly schedules of both businesses. - Three-stage 3272
In the three-stage races with a total length of 550 km, cyclists drove 38% in the first and 27 percent in the second stages. How many km will they cover in the third stage? - Grandfather's 2876
To the question: How old are your two grandchildren? The grandfather answers: if I add their sum to the product of the numbers that determine their age, I get 14. How many years have grandfather's grandchildren? Think only for years. - Percentage 2853
The washing machine originally cost 450 €, the shop reduced it by 12%. After the second discount, it cost € 364.32. What percentage did it reduce for the second time?
- Inspected 2607
The worker checked 4,950 products in three days. He inspected 25% more products on the second day than on the first day. He inspected 16% fewer products on the third day than on the second day. How many products did he check on each day? - Sweets
Three chocolate and seven cakes cost 85 CZK. Two chocolates and six cakes cost 86 CZK. How much are five chocolates and nine cakes? I wonder how to get the result, but only by logic, without using a system of equations. - Eq2 equations
For each of the following problems, determine the roots of the equation. Given the roots, sketch the graph and explain how your sketch matches the roots given and the form of the equation: g(x)=36x²-12x+5 h(x)=x²-4x+20 f(x)=4x²-24x+45 p(x)=9x²-36x+40 g(x) - Linear function
Using one of the following forms, x+p=q or px=q, write an to represent these problems using x as the unknown variable. Larry ran seven more miles than Barry in a month; if Larry ran 20 miles, how many did Barry run? - Sugar production
From 1 ton of beet, 150 kg of sugar is produced. 450 kg of lime is consumed to clean 1 ton of sugar. Calculate how many kgs of lime are consumed when processing 1 ton of sugar beet.
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