# Algebra - problems - page 65

- Euros

Peter, Jane and Thomas have together € 550. Tomas has 20 euros more than Jane, Peter € 150 less than Thomas. Determine how much has each of them. - Orchard

3/5 of the trees in the orchard are apples, 1/3 are cherries and the remaining five trees are pear. How many trees are in the orchard? - Family

Mom is 42 years old and her daughters 13 and 19. After how many years will mother as old as her daughter together? - Apples in baskets

Determine how many apples are in baskets when in the first basket are 4 apples, and in any other is 29 apples more than the previous, and we have eight baskets. - Midpoints

Triangle ABC with sides a = 5 cm, b = 3 cm, c = 40mm has a midpoint of K, L, M. How many centimeters is long perimeter of parallelogram KBLM? - Circle's chords

In the circle there are two chord length 30 and 34 cm. The shorter one is from the center twice than longer chord. Determine the radius of the circle. - Unknown number 6

Determine the unknown number, which is by 1.5 greater than its fourth. - Euros

Peter spent a quarter of his pocket saving. He has 9 euros now in his wallet . How many euros spent? - Cyclist vs boat

The cyclist wants to ride a short distance by boat, but when he stops at the pier, the boat does not pick up passengers yet and is preparing to leave. The cyclist decides that the boat will catch up at the next stop. The stop is 12km far along the water an - Inequation

Solve the inequation: 5k - (7k - 1)≤ 2/5 . (5-k)-2 - Savings

Paul has a by half greater savings than half Stanley, but the same savings as Radek. Staney save 120 CZK less than Radek. What savings have 3 boys together? - Equation

Equation ? has one root x_{1}= 8. Determine the coefficient b and the second root x_{2}. - Five members

Write first 5 members geometric sequence and determine whether it is increasing or decreasing: a_{1}= 3 q = -2 - Alcohol mixture

From 55% and 80% alcohol we have to produce 0.2 kg of 60% alcohol. How many of them do we use in solution? - Copper parts

From copper cast were made 3 parts. At first consumed one third of casting, the second 2/3 of rest and the third weighed 18 kg. What is the weight of original copper cast? - Water wessel

The vessel containing water has a weight 19 kg. After pouring half the water its weigth 11 kg. What is the weight of the empty vessel? - Repair company

The company repairs cars. The first day repair half of the contract second day, the half of the rest and third day 8 residue cars. How many total cars company repaired? - Banknotes

$ 1390 was collected. How much was in $20 notes and how many in $50 notes in that order? How many solutions exists? - The plan

Students have collected 48 kg of paper which is 16% of the plan. How many kg of paper still have to collect to fulfill the plan? - Internal angles

Find the internal angles of the triangle ABC if the angle at the vertex C is twice the angle at the B and the angle at the vertex B is 4 degrees smaller than the angle at the vertex A.

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