Isolating a variable in the formula - practice problems - page 5 of 145

Number of problems found: 2883

Two numbers at a ratio
If 1.5x = 0.04y, then find the value of {(y - x)/(y + x)}.
Three workers
A can do a work in 16 hours, and B alone in 24 hours. If A, B, and C work together and finish it in 8 hours, then C alone can finish it in how many hours?
A rectangle 14
A rectangle is 8 cm long and 5 cm wide. Its perimeter is doubled when each of its sides is increased by x cm. From an equation in x, find the new length of the rectangle.
A,B,C,D
A, B, C, D are four consecutive odd integers and their average is 42. What is the product of B and D?
The 5th
The 5th, 8th and 11th terms of a GP are a, b, c respectively. Show that a, b, c are in GP.
The area 5
The area of a rhombus is 144 sq cm. If one of the diagonals is double the other, find the length of the diagonals.
Same expenses
If the price of tea increases by 20%, what percent must the consumption be reduced to keep the expense the same?
Three journeys
If a person covers three equal distances at the speed of 30 km/h, 15 km/h and 10 km/h respectively, then find out the average speed during the whole journey.
Solve 26
Solve percentages question: 75 % of p = 225
A parallelogram
The area of a parallelogram is 338 m². If its altitude is twice the corresponding base, find the base and the altitude.
The product 15
The product of two consecutive even numbers is 48. If the square of the smaller number is 35, what is the other number?
An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side.
Parallel tracks
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in
Unknown en
I think of a number. If I subtract 9 from it and multiply this difference by 4, the result is 128. Form an equation and solve it to find the number.
A tree 2
A tree is broken at a height of 6 m from the ground and its top touches the ground at a distance of 8 m from the base of the tree. Find the original height of the tree.
A pair 2
Jane is 5 years older than Tom. In 3 years, the sum of their ages will be 41. How old are Jane and Tom now?
The bill 2
I paid 3/5 of the bill. If 400 USD of the bill is still due, what was the total amount of the bill?
Circle inscribed square
What is the area of the circle that can be inscribed in a square of 10 cm?
Error multiplication
In measuring the sides of a rectangle errors of 5% and 3% in excess are made. Find the error percent in the calculated area .
Roland 2
Roland sold his watch at a 15% loss. If he had sold it for 210 USD more, he would have made a profit of 20%. Find the cost of price of the watch.

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