Equation + system of equations - practice problems - page 16 of 64
Number of problems found: 1264
- 24carat gold
The goldsmith cast 22-carat gold and 14-carat gold and earned 20 dkg of 18-carat gold. How much gold did he use? - Fifteen-spruce 57291
A mighty gale broke the top of the fifteen-spruce spruce, resting it on the ground. The distance of this top from the trunk was 4.6 m below. At what height was the spruce trunk broken? - Two simple
Two simple fractions have the product of 3/10. When the smaller fraction is divided by the bigger fraction, the quotient is 5/6. What are the two fractions in simplest form? - Two numbers
One number is 79 more than the other. If we divide the larger number by the smaller one, we get the quotient five and the remainder 11. Determine both numbers.
- Lucka
Lucka reads a thrilling novel about the holidays. If she read 16 pages daily instead of 14, she would read the book one day earlier. How many pages does the novel have in total? - Conjugate equation
Find the numbers of a and b; if (a - bi) (3 + 5i) is the Conjugate of (-6 - 24i) - One leg
One leg of a right triangle is 1 foot longer than the other leg. The hypotenuse is 5 feet. Find the lengths of the three sides of the triangle. - Half of 2
Half of Ethan's string is equal to 2/3 of Kayla's string. The total length of their strings is 10 feet. How much longer is Ethan's string than Kayla's? - 6 plates
Six plates and 5 cups cost 37.50 dollars. Seven plates and 6 cups 44.10 dollars. Each plate costs the same amount as the other cup. What is the cost of 1 plate? What is the price of 1 cup?
- Louis
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 5,120 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement? - Deposit
We deposited a total of $15,000 into simple interest accounts. The annual simple interest rate on one account at 6% the annual simple interest rate on the second account at 7%. How much should be invested in each account so that the total interest earned - Fruit equation
Find how many peaches could be bought instead of buying one melon, one pear, one apple, and two plums if we know that: • Melon and plum cost the same as three apples • if we subtract the price of a pear from the price of peach, we get the price of plum • - Two workers
One worker makes a part 4 hours and the second 9 hours later than they would make the same part together. How long does it take for each worker to make the part himself? - Gardeners 47883
Gardeners have planted 1,100 flowers. Pansies are 280 less than tulips, and 40 daffodils than pansies. How many pansies have they planted?
- Attended 47663
Three times more boys than girls attended the student meeting. When 8 boys and 8 girls left early, five times more boys than girls stayed at the meeting. How many boys and how many girls were at the game? - Confectionery 47211
They want to buy a mixture of candies for the confectionery, which consists of fruit candies at CZK 170/kg and chocolate candies at CZK 240/kg. The mixture should be 20 kg for 212 CZK/kg. How many fruit candies and how many chocolate candies must he buy? - Received 47171
Four boys shared 100 marbles. The second received 20% more than the first, the third received 20 more bullets than the first, and the fourth received 0.8 times more bullets than the first. How many marbles did each boy get? - Animal heads and feet
When hunting hares and pheasants, hunters calculated that the animals caught had 36 heads and 100 feet. How many hares and how many pheasants do they catch? - Candies 46863
Pěťák has three times more candies than his friend Maťko. When Petek's brother Ferko took four candies from both, Petko had five times more than Maťko. How many candies does Petko have now?
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