System of equations - math word problems - page 33 of 107
Number of problems found: 2130
- Alcohol solutions
We have to produce 2 liters of 60% alcohol from 55% and 80%. How many of these will we use in the solution? - The cylinder
In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder. - Rotary cylinder
In the rotary cylinder, it is given: surface S = 96 cm² and volume V = 192 cm cubic. Calculate its radius and height. - Class group distribution
In one HA class, there were 8 more pupils in the first group than in the second group. After the admission of two new pupils to each of the groups, there were twice as many pupils in the 1st group as in the 2nd group. How many pupils were there in each gr - Two grandmothers
Two grandmothers went to the market to sell eggs, and they had 100. When they sold all the eggs, they made the same money. The first grandmother said to the second, "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmother replied - Flower petal
We have 30 flowers, and each one has three or four petals. They have a total of 102 chips. How many flowers have four petals? Z represents the number of flowers with 4 petals. Choose the expression that determines the number of flowers with 3 petals. - Salt solution preparation Prepare 2 liters (kg) of a 3% salt solution in water.
- Participants
Of the 48 participants, six were women, fewer than men, and 24 were children, less than all adults. Calculate the percentage of all participants on the tour who are children. - Hydrogen peroxide solution
Prepare 250g of a 30% solution of hydrogen peroxide in water. - Salicylic acid solution
Prepare 600 g of an 8% solution of salicylic acid. - Arm and base
The isosceles triangle has a circumference of 46 cm. If the arm is 5 cm longer than the base, calculate its area. - Motorbike circuit
On a 2,550 m long circuit, two motorcycles go at such speeds that they meet every minute if they go against each other and run every 5 minutes if they go in the same direction. Find their speeds. - Coloured numbers
Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number is divided by blue, it gets the green number is an incomplete proportion, and yellow represents the remainder after this division. When it - Parametric equation
Point A [6; -2]. Point B = [-3; 1] Write the parametric equation of the line BA so that t belongs to the closed interval < 0;3 > - Invoice penalty
The company paid a total of CZK 38,152, including penalties, for the late payment of the invoice. The penalty was 4 ‰. a) how much was the invoiced amount (without penalty)? b) how big was the penalty? - Prize distribution
On the Matějska Pilgrimage, they had 40 prizes of two kinds in the wheel of fortune with a total value of 500 CZK. Four pieces of the first were worth CZK 60, and seven pieces of the second kind were worth CZK 80. Determine the number of pieces of each ty - Bread loaf
In the bakery, they prepared 616 loaves of two types of bread for the expedition: sunflower bread weighing three-quarters of a kilogram and caraway bread 900 g each. They prepared 7 kg of more than half a ton of bread. How many caraway and sunflower loave - Candy distribution
Adela and Barbora have a total of 34 candies. If Barbora gives Adela 2 candies, they will have the same. How many candies does Adela have, and how many Barbora? - System equation solving
Solve the following system of equations: x + 4y = 5 2x - 3y = -6 - Consecutive members
The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, and c of the blocks for which a < b < c and a + b + c = 38 cm and whose numerical values in cm represent three consecutive members of the geometric sequence.
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