Equations with Fractions problems - page 9 of 42
Number of problems found: 827
- Five friends
Five friends ate a 12-slice pizza. Samir ate three times as many slices as Joe. Joe ate half as many slices as Emily. Kendra and Fong together ate half a pizza. Kendra ate one-third as many slices as Samir. Fong ate the most slices. What fraction of a piz - Dividing money 6
P 49,000 is to be divided among three children, X, Y, and Z. If X will receive double that of Y. Y will receive double that of Z, how much will Z will receive? - Fuel volume
1/2 of a tank is filled with oil when 36 liters are removed, and the remaining oil fills 1/10 of the tank. What fraction of the total is the amount of oil removed? - Weighted-average
Calculate the weighted-average cost of the following inventory purchases: Date Quantity; Purchased ; Cost per Unit May 4; 33; $12.25 May 11; 41; $13.87 May 29; 37; $11.99
- In a museum
There are 250 people in a museum 2/5 of the 250 people are girls. 3/10 out of the 250 people are boys. The rest of the 250 people are adults. Find the number of adults at the museum. - Ivan rented
Ivan rented a truck for one day. There was a base fee of $14.95, and he drove an additional charge of 73 cents for each mile. Ivan had to pay $114.96 when he returned the truck. For how many miles did he drive the truck? - The lengths
The lengths of the twelve poles form an Arithmetic Progression (A. P). If the third pole is 3m and the eighth pole is 5 m, find the (i) Length of the first pole (ii) Sum of the length of the poles - The scores
The scores of 10 learners in a test arranged in ascending order is 12, 13, 13, a, (a + 3), (52 - 2a), (2a - 8), 23, 23 and 24. If the median mark is 20, find (a) value of a. (b) mean - Regular polygons
Two regular polygons, x and y, are such that the number of sides of x is three more than the number of the sides of y. If the sum of the exterior angles of x and y is 117°, how many sides have x?
- Solve 12
Solve the following quadratic equation: 3/2-(2x-1)²=5/4 - A cuboid 2
A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199. Calculate the value of x. - A boy 2
A boy dropped a coin from the top of the dry well and heard a sound 6 seconds later. Considering this as a free-fall object, how deep is the well? The speed of sound in air is approximately 343 m/s. - Some rice
Rose had some rice. She gave 1/4 of it to her sister and cooked 1/6 of the remaining. What fraction of the rice did she cook? b. If she cooked 1⁄2 kg of rice, how much rice had she at first? - Pre-stocking 74604
They delivered potatoes, cabbage, and carrots to the vegetable shop for winter pre-stocking. 2/7 of the total amount is carrots, 1/3 is cabbage, and the rest is potatoes. Carrots are 10 kg less than cabbage. How many kilograms of potatoes do they have in
- The distance 2
The distance between the two ports M and N is 2100km. If two ships travel towards each other, with one ship leaving port M at 20km/h and at the same time another ship from port N traveling at 15km/h. (I) How long will it take the two ships to meet? (ii) h - Radioactive 74344
A type of radioactive element has a mass of 1.125 grams. Upon analysis, he is found to be 405 years old. If this radioactive element decays by half every 45 years, find how many grams of this radioactive element there were 405 years ago. - A Ferris wheel
A Ferris wheel with a diameter of 100 feet makes five revolutions every 8 minutes. The base of the wheel is 4 feet above the ground. Your friend gets on at 3 PM sharp. a) Write an equation to express the height in feet of your friend at any given time in - Calculate 74024
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm square. Calculate the radius of the base. - Preparation 73954
Ivana was preparing for Testing 9. On the first day, she calculated a quarter of all calculated tasks; on the second day, a sixth; on the third, a fifth; on the fourth, only an eighth; and on the last day, she solved 31 tasks. How many tasks did she recal
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