Equations practice problems - page 179 of 239
Number of problems found: 4769
- Rings groups
Twenty-seven pupils attend some groups. Fourteen pupils attend the Dance group, 21 in the sports group, and 16 in the dramatic group. Dance and sporting attend nine pupils, dance and drama six pupils, and sporty and dramatic 11 pupils. How many pupils att
- Remaining 4165
3/4 of the class went skiing. Of those who stayed home, 1/3 fell ill, and the remaining 6 were at a math camp. How many students does the class have?
- Difference AP 4
Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1
- Rectangle diagonals
Calculate for me the length of the diagonal of a rectangle whose size is 7 cm greater than its width and whose perimeter is 34 centimeters. The dimensions of the rectangle are expressed in natural numbers.
- Potatoes
Daniela and Michael would jointly dig potatoes for 7.5 hours. But if Daniela was working alone, she would take 2.5 hours more than if he were working with Michael. Determine how much for the work done by Michael himself and how much Daniela herself.
- Together 4158
Daniela and Michal would dig potatoes together in 7.5 hours. But if Daniela worked alone, it would take her 2.5 hours more than Michal. Find how much Michal would do and how much Daniela would do the work himself.
- Baskets of apples
Grandfather gathered apples into baskets. He filled one large and three small baskets. Small baskets are identical; each can hold 3 kg of apples less than in a large basket. In small baskets together, 3 kg of apples over a large basket. How many kilograms
- Companies 4156
Company A mows the meadow in ten hours. Company B will cut the meadow with dynamite in six hours. How many hours would these companies mow two meadows if they worked together?
- Three friends
Three friend squirrels together went to collect hazelnuts. Zrzecka found more than twice Pizizubka, and Ouska was even three times more than Pizizubka. On the way home, they talked while eating and cracked her nuts. Pizizubka ate half of all the nuts coll
- The swing
To swing the two girls. Aneta weighs 45 kg and Simon 35 kg weight. How far should Simon sit from the middle of the swing so it is balanced if we know that Aneta is sitting at a distance of 1,5m? How far are girls sitting apart?
- Parenthesis: 4144
Solve a simple equation with a minus before the parenthesis: 4x- (x-4) = 5-3x
- Apples 5
In six crates are 45 kg of apples. Five crates were the same amount, and in the sixth crate were 3 kg more apples. How many kilograms of apples were in each crate?
- Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two.
- Grandmother's 4133
Anička went to her grandmother's for spring break. She paid CZK 38 for the trip, which was two-ninths of their savings. She bought a gift for her grandmother for 35.50 CZK and a book for her cousin Míla for 16.70 CZK. How many crowns did she have left to
- Determine 4132
Determine the value of x in this equation: x! · 4 = x³. x is a natural number.
- MO SK/CZ Z9–I–3
John had the ball that rolled into the pool and swam in the water. Its highest point was 2 cm above the surface. The circle's diameter that marked the water level on the ball's surface was 8 cm. Find the diameter of John's ball.
- Construction 4130
By improving the work process, constructing a family house saved CZK 111,600, which was 9% of the total budget. What was the original budget for a family house?
- Summands
Find two summands of the number 42 so that its product is minimized.
- Circumference 4127
The base is 3.5 cm shorter than the shoulder in an isosceles triangle. The circumference of the triangle is 58 cm. Calculate the lengths of the sides of this triangle.
- Traveling 4124
A truck with a bulky load left the factory at 8:30 a.m. at an average speed of 20 km/h. At 9 a.m., a car drove up behind him, traveling at an average speed of 60 km/h. What time will the truck catch up?
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