Algebra - math word problems - page 111 of 312
Number of problems found: 6225
- Determination of a sequence
A sequence is given whose first three members are a1= 70, a2=64, a3=58. 1, decide whether it is an arithmetic or a geometric sequence and accordingly determine the value of d or q. 2, determine the value of the fifteenth member of the sequence. 3, determi - Two months
Mars has two months, Phobos and Deimos. Phobos orbit around Mars in 7 hours 39 minutes, and Deimos in 30 hours 14 minutes. How long will the relative positions of the three celestial bodies repeat? - Part-time workers
On Saturday, 210 part-time workers arrived in the village. One hundred five part-time workers worked in the first field, 60 in the second. The other part-time workers worked in the third field. They all worked in equal groups. How many workers worked in e - Birthdays
In a classroom, students give candy to their classmates on their birthdays. The birthday student gives one candy to each classmate but does not receive one themselves. A total of 650 candies were given out over the course of the year. How many students ar - Groups
In the 6th class, there are 60 girls and 72 boys. We want to divide them into groups so that the number of girls and boys is the same. How many groups can you create? How many girls will be in the group? - Cash back
After a trip, 24 students left more than 650 but less than 690 CZK (Kc). How much does each student receive in return when the amount is divisible by the number of pupils? - A construction 2
A construction company will be penalized for its bridge construction delays. The penalty is set at 4,000 for the first day and shall be subjected to a 1,000 increase for each succeeding day. The company can afford a maximum payment of 165,000 for a penalt - Cheapest milk
Mr. Šetrný and Mrs. Šetrná buy the cheapest milk. In their favourite shop they sell milk in red, green and blue boxes. Three red, two blue, and one green box cost together 120,- Sk. Two red, two blue, and one green box cost in total 98,- Sk. Three red, th - School books
At the beginning of the school year, the teacher distributed 480 workbooks and 220 textbooks. How many pupils could have the most in the classroom? - Fabric package
There is less than 50 m of fabric in the package. If we cut only for blouses or only for dresses, we will not have any leftovers. 1.5 m of fabric is used for one blouse and 3.2 m for one dress. Determine the amount of fabric in the package. - Dressmaker
The dressmaker had a piece of canvas shorter than 5 metres. She was deciding whether to sew a skirt or a dress. The canvas was exactly enough to cut either a skirt needing 120 cm or a dress needing 180 cm. What length of canvas did she have? - Seamstress earnings
The seamstress' earnings in the last three months of the year are always 20 percent higher than the previous month. She earned a total of CZK 65,520 between October and December. How much CZK did you make in October? - Tickets 7
Tickets to a concert cost $2 for children, $3 for teenagers, and $5 for adults. When 570 people attended the concert, the total ticket receipts were $1950. Compared to the number of children in attendance, three-fourths as many teenagers attended. How man - Linear combination of complex
If z1=5+3i and z2=4-2i, write the following in the form a+bi a) 4z1+6z2 b) z1*z2 - Loan 5
Abdul takes a loan of 200000 from Ali and agrees to repay in several installments. Each installment begins with the 2nd, exceeding the previous one by 1000. If the first installment is 500, find how many installments will be necessary to be wiped out of t - Number puzzle
Darius said to Miloš: I think a number. If I raise it to the power of one-fourth and then multiply by 3, I get its square root. Find the unknown number that is greater than zero and belongs to the set of positive integers. - Mobile phone minutes
Mr. Hovorka pays a monthly flat rate of CZK 100 plus CZK 0.90 for each minute (or part thereof) of a call for his mobile phone. He calculated that each minute of the call last month cost him CZK 2.15. How many minutes was he on the phone? - Camp cost distribution
The department consists of 80 children and adults. The camp cost them a total of 116,400 CZK. Each child paid 1200 CZK and each adult 1800 CZK. How many adult participants were there, how much did the children pay for the camp, and who paid more money for - Well digging cost
Mr. Peter needs to dig a 20m deep well on his property. The AZET company charges 1 euro for the first meter and 2x more for each subsequent meter. The ZETA company charges 200 euros for each meter of well depth. Which company should Mr. Peter choose if he - Senior students
There are 7,000 students at Mountain High School, and 2/7 of these students are seniors. If 2/5 of the seniors favour the school forming a debate team and 3/8 of the remaining students (non-seniors) also favour forming a debate team, how many students do
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