System of equations - practice problems - page 6 of 107
Number of problems found: 2131
- A man 14
A man gave 1/3 of his wealth to his wife, 2/3 of the remaining to his daughter, and divided the remaining between his two sons equally. If the daughter received Rs 3000000 more than one of the sons, find the value of the father's property. - Domino
Domino and Winnie share some biscuits. The ratio of biscuits between them was 4:3. Domino gave Winnie 5 biscuits, and the ratio changed to 1:2. How many biscuits are in total? - A barrel
A barrel of sorghum weighs 56kg. The same barrel filled with kerosene weighs 35kg. If sorghum is twice as heavy as kerosene, how much does the empty barrel weigh? - There 33
There is a number that is three-fifths the total of the other number. When four is added to one of the numbers, their sum will be equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they? - One side 3
One side of a triangular banner is 1 1/2 times longer than the second side and 2cm shorter than the third side. The perimeter of the triangle is 98cm. How long is the shortest side? - Yiguo
There were an equal number of carrots, tomatoes, and cabbage in the pantry. Yiguo used 49 carrots som, some tomatoes, and some cabbages. There were 3 times as many tomatoes as cabbages left. Sixteen fewer carrots than tomatoes were left. There were 117 ca - Angles - triangle
Find the measure of the angles of the triangle ABC if: the measure of angle A is the measure of angle C and the measure of angle B =½ of the measure of angle C. - Xero had
Xero had a piece of ribbon. He used 0.4 of it to tie 2 small boxes and 2 large boxes. The length of ribbon needed for a large box is 3 times the length of ribbon needed for a small box. Xero used 5/6 of the remaining ribbon to decorate the presents. a) Wh - Fruits
(I) bought three apples, two oranges, four pears, and five bananas, which in total cost £3.73. (i) I bought twenty-one apples, no oranges, eight pears, and fifteen bananas, which in total cost £7.57. (i) I bought one apple, eighteen oranges, fourteen pear - Peter 16
Peter travels to his uncle's home, 30 km away from his place. He cycles for 2/3 of the journey before the cycle develops a mechanical problem, and he has to push it for the rest of the journey. If he is cycling 10 km per hour faster than his walking speed - I have 2
I have $907 to pay 13 people. Five people will receive half of what the other 8 people will receive. How much will the payments to each person be? - Belle
Belle is planning to buy a cake and a dress as a gift for Alice. The price of the cake is Php 40.00 more than half the price of the dress. The total cost of the cake and the dress is 670.00 Php. How much is the cake? - Y-intercept
Find the y-intercept of the graph (-3,-3), (4,3), (8,3). The x-intercept is 1/2. - Line in normal form
Try to find the equation of a line given two points in the form Ax+By=C. passes through the points: (2,1) and (-2,2) - Tadeo
Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together, they volunteered a total of 14 hours. How many hours did each person volunteer over the weekend? Write a system of equations that represents the situation. Let x r - Kevin 4
Kevin is 4 years older than Margaret. Next year Kevin will be 2 times as old as Margaret. How old is Kevin? - Temperature - linear function In the morning, at 08:00 hours, the temperature was -8°C, and in the afternoon, at 16:00 hours, the temperature was 24°C. Assuming that the temperature changes steadily, what was the temperature at 13:00 hours, and what was the time when the temperature w
- Suppose 10
Suppose 4+7i is a solution of 5z²+Az+B=0, where A, B∈R. Find A and B. - Nickels and dimes
Bob has a handful of nickels and dimes worth $2.45. How many dimes are there if there are 4 more nickels than dimes? Hint: A nickel is worth 5 cents, and a dime is worth 10 cents. So, one dime is worth the same as two nickels. - Jackie 2
Jackie bought an equal number of tulip bulbs and daffodil bulbs. Along the length of her garden, Jackie planted 6 daffodil bulbs and 3 tulip bulbs per foot. She has 5 daffodil bulbs and 29 tulip bulbs remaining to plant elsewhere. How long is Jackie's gar
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