System of equations - math word problems - page 15 of 110
Number of problems found: 2182
- Nikola Agáta roses
Nicole and Agatha received a total of 20 roses from their partners. Nicole received 4 more roses than Agatha. How many roses did each have? - Identical loaves of bread
If the clerk at the buffet bought 15 identical loaves of bread, she would have 5 euros left in her wallet. If she bought 3 loaves of bread less, she would have 8.60 euros left. How many euros did she have in her wallet? - Novak neighbor income
Mr. Smith earns as many euros in half a year as his neighbor in 4 months. The neighbor earns 420 euros more per month than Mr. Smith. What is the monthly income of Mr. Smith? - Tank inlet filling
The tank is filled through three openings, A, B, and C. The simultaneously open inlets A and B are filled in 1 hour, inlets A and C in 45 minutes, and inlets B and C in 1.5 hours. How long would it take to fill each inlet separately? - Cactus violet sales
At the flower festival, young growers sold cactus plants for CZK 12 and indoor violet plants for CZK 9. They sold a total of 47 pieces of flowers of both types and received CZK 501. How many cacti and how many violets did they sell? - MO Z6-I-3 2022
Magda cut out two identical isosceles triangles, each of which had a perimeter of 100 cm. First, from these triangles she formed a quadrilateral by placing them together by their legs. Then from them she formed a quadrilateral by placing them together by - Soňa Elvíra money
Sonya and Elvira have 20 CZK together, Elvira and Philomena have 15 CZK together, and Sonia and Philomena have 19 CZK together. How many CZK does Sonya have, how much Elvira, and how much Filomena? - Dance course participants
Two hundred fifty-two participants signed up for the classical ballroom dance course. There were 2 times more girls than boys. How many girls and how many boys applied? - Basket candy ratio
There are lollipops, chocolates, and candies in the basket. The number of lollipops and chocolates is in the ratio of 2:3, and the number of chocolates and candies is in the ratio of 4:5. There are 15 fewer candies than lollipops and chocolates combined. - Dana book pages
Dana read the book in 4 days. On the first day, she read a third of the book; on the second day, a sixth of the book; on the third day, half of the remaining pages. She still had 30 pages left on the last day. How many pages was the whole book, and how ma - Pear apple price
The price of 1 kg of pears is 7 crowns higher than the price of 1 kg of apples. The seller sold 2 kg more apples than pears. He received the same amount for pears and apples, namely 420 CZK. How many kilograms of apples and how many kg of pears did he sel - Men money denarii Two men talk about how much money each has. The first says to the second: If you give me 12 denarii, we will both have the same. "Second branch: If you give me 12 denarii, I will have ten times more than you. How many denarii did each of them have?
- Matěj Lojza marbles
Matthew has 2 more marbles than three times the number of marbles that Louis. Both together have 18 balls. How many marbles does Louis have? - Father son ratio
The father is older than the son by the ratio of 5:2. Dad is older than 33. How old are they both? - 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. - Pencil prize count
Twenty-five pencils were bought as prizes in the school competition. The more expensive pencils were for 20 CZK, the cheaper ones for 15 CZK. The entire amount paid was 455 CZK. How many are there? - Operation asterisk pairs
The * (asterisk) operation assigning one number to two pairs of numbers is introduced as follows: (a, b)*(c, d) = ac+bd We know that: (x,2)*(-1, v) = -1 and (2,-1)*(u, v)=5 and (u, v)*(1,1)=-2 What is (1,2)*(x, y) equal to if y=3? - Butter chocolate price
I paid 36 crowns for butter and chocolate. Butter was CZK 6 more expensive than chocolate. How much did the chocolate cost? - Favourite singers
A poll carried out among 200 students of one school found out which of the singers V. Neckář, K. Gott, W. Matuška is the most popular. It brought the following results: Gott is popular with 78 students, Matuška with 75 students, and Neckář with 101. It wa - Three-digit - sum
A three-digit number has a digit sum of 16. If we change the digits in the hundreds and tens places in this number, the number is reduced by 360. If we swap the ten's and one's digits in the original number, the number increases by 54. Find this three-dig
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