System of equations - math word problems - page 13 of 107
Number of problems found: 2131
- Department 82388
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 - Purchased 82340
The company secretary bought stamps worth CZK 20 and CZK 15. The total number of purchased stamps is 120, and the secretary paid a total of 2265 CZK. How many stamps worth 15 CZK did she buy? - Subtract 82333
I think of three numbers; when I add them, I get 16; when I subtract the third from the sum of the first two numbers, I get 10; when I subtract the second from the sum of the first and third numbers, I get 8. Which numbers do I think? - Numbers 82320 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?
- Boiler 82273
The ship and boiler are 49 years old. The ship is twice as old as the boiler was when the ship was as old as the boiler is now. How old is the ship? - Third unknown number The number A is 5 more than the number C and 10 less than the number B. The sum of A+B=100. What is the C number?
- Determine 82143
Determine the size of the interior angles in an isosceles triangle if you know that the angle opposite the base is 15° greater than the angles at the base. - Fifteen 82121
The father is five times older than the son. The father will be twice as old as the son in fifteen years. How old is Dad now? - Scalar products
The vectors a = (3, -2), b = (-1, 5) are given. Determine the vector c for which a. c = 17; b . c = 3 - Received 81933
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? - Foresters 81919
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? - Difference 81849
Determine four numbers so that the first three form the successive three terms of an arithmetic sequence with difference d=-3 and the last three form the next terms of a geometric sequence with quotient q=one half. - Collection 81826
Ema has 3 times more picture cards in her collection than Dana. They have a total of 240 images. They are bought in packs of 10 for CZK 14. How much did Dana's pictures cost? - Department 81818
The department has 90 members. There are 4 more older adults in the section than younger adults. There are 10 more older pupils than all adults. How many older and younger teenagers and how many older pupils are there in the section? - Athletics
160 students (gymnasiums and technical schools) participated in the athletics race. The proportion of girls from the gymnasium was 50%, the proportion of girls from the technical schools was 10%. Determine how many students were from the gymnasiums and ho - Arithmetic 81811 In which arithmetic sequence is the sum of the first five terms with odd indices equal to 85 and the sum of the first five terms with even indices equal to 100?
- Department 81809 Three times more boys than girls go to the Jude section. If three more girls started dating, there would be twice as many boys as girls. A) determine how many go to the girls' section B) determine how many children attend the department in total.
- Arithmetic 81808 An increasing arithmetic sequence has an odd number of terms. The middle term is 302. If we remove the 4 largest terms from the sequence, the middle term will be 296. Determine the difference in the sequence.
- Rectangle dimensions 2
The length of the rectangle is 5 cm greater than its width. Determine the rectangle's dimensions if you know that its perimeter is 22 cm. - Divided 81763 Petr divided the 32 playing cards into two piles. He found that one had three times as many cards as the other. How many cards were in each pile?
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