Algebra - examples
- Two ages
Gabrielle is 9 years younger than Mikhail. The sum of their ages is 87. What is Mikhail's age?
- Tickets 3
A total of 645 tickets were sold for the school play. They were either adult tickets or student tickets. There were 55 fewer student tickets sold than adult tickets. How many adult tickets were sold?
- Sale off 2
A pair of of blues jeans went on sale. After a 30% reduction the pants cost $35. How much did the jeans cost before the price reduction?
Find variable P: PP plus P x P plus P = 160
- Lcm of three numbers
What is the Lcm of 120 15 and 5
Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
- Saving 9
An amount if $ 2000 is invested at an interest of 5% per month. if $ 200 is added at the beginning of each successive month but no withdrawals. Give an expression for the value accumulated after n months. After how many months will the amount have accumula
Susan is 3 years and as she will be old as Teodor now him will be 11. How old is Teodor today?
- Isosceles trapezoid
Calculate the content of an isosceles trapezoid whose bases are at ratio 5:3, the arm is 6cm long and it is 4cm high.
- Ten pupils
10 pupils went to the store. 6 pupils bought lollipops and 9 pupils bought chewing gum. How many pupils have bought both lollipops and chewing gums (if everyone bought something)?
A bottle of wine costs 21 euros; and wine is 20 times more expensive than a bottle. How much a bottle cost?
- Adam and Ben
When Ben is so many years old to Adam today, Adam will be 23 years old. When Adam was as old as Ben, Ben was two years old. How old is today Ben and Adam?
The trench is a four-sided prism. The cross section has a trapezoidal shape with basements of 4m and 6m, the length of the trench is 30m. What is the depth of the trench if we dig 60,000 l of soil.
- Truncated cone 3
The surface of the truncated rotating cone S = 7697 meters square, the substructure diameter is 56m and 42m, determine the height of the tang.
- Three granaries
Three granaries hold 7,800 metric cent (q) of grain. In the first, 70 tonnes of grain was more than the second and in the third it was 120 tonnes less than in the second. How many grain were in each granary?
- Water channel
The cross section of the water channel is a trapezoid. The width of the bottom is 19.7 m, the water surface width is 28.5 m, the side walls have a slope of 67°30' and 61°15'. Calculate how much water flows through the channel in 5 minutes if the water flow
- Regular n-gon
In a regular n-angle polygon the internal angle is 144 degrees. Find the number n indicating the number of sides of this polygon.
Petra has ten pairs of gloves in the closet. Six pairs are blue, 4 pairs are yellow. How many pieces of gloves need to be pulled out at least when she pull them out in the dark and want to have one complete one color pair?
A photocopier enlarges a picture in the ratio 7:4. How many times will a picture of size 6cm by 4cm be enlarged to fit on a 30cm by 20 cm page?
- Sequence 11
What is the nth term of this sequence 1,1/2,1/3,1/4,1/5 ?