System of equations - math word problems - page 25 of 107

Number of problems found: 2127

Brian 2
Brian and Jake left their homes 500 miles apart and drove straight toward each other. It took 4 hours for the two to meet if Jake's speed was 15 mph slower than Brian's. What was Brian's speed?
Tickets 7
Tickets to a concert cost $2 for children, $3 for teenagers, and $5 for adults. When 570 people attended the concert, the total ticket receipts were $1950. Compared to the number of children in attendance, three-fourths as many teenagers attended. How man
The Fraction
The denominator of a Fraction is greater than the numerator by 4. if 11 is added to the numerator and one subtracted from the denominator, the value of the fraction obtained is 7/3. What is the original fraction?
Brother age
One brother talks about his younger brother: "2 years ago, I was three times my brother's age. In 3 years, I will be twice as old as my brother." How old is each brother now?
Theater 60503
We will pay 445 euros for 50 tickets. How many cinema and theater tickets will we pay if one cinema ticket costs 4 euros and a theater ticket 11 euros?
The sum
The sum of the two numbers is 69, and the difference is 11. Which numbers are they?
GP sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 5, an = 320, sn = 635, n =? q =?
Quantities 60183
Determine the remaining quantities in the finite geometric sequence, given: n = 4, an = 12.5, sn = 187.5, a1 = ?, q =?
Members
A geometric sequence with six members has the sum of all six members equal to 63; the sum of the even members (that has an even index) has a value of 42. Find these members.
Cheaper 60033
Iced tea in a bottle costs 1.20 euros. A bottle is seven times cheaper than tea. How many euros does a bottle cost, and how much tea?
Containing 59983
The gardener has to prepare a grass mix containing clover grass and a meadow mixture at a price of CZK 24 per kilogram. A kilogram of mono-grass mixture costs CZK 22, and a kilogram of meadow mixture costs CZK 30. It will determine how many kilograms of m
Determines 59973
1 kg of white tea costs CZK 1,800. 1 kg of green tea costs CZK 1,200. It determines how many grams of white and green tea will be contained in a package of Buddha's mixture if it weighs 50g and costs CZK 65.
Linear temp change
The temperature in Inuvik, Northwest Territories, increased at the same rate from -22°C at 9:00 AM to -8°C at 4:00 PM one day. What was the temperature at 2:00 PM?
Line - normal form
What is the equation of the line whose x-intercept is - 3 and y-intercept is -4? Find coefficients A, B, C in normal equation of line: Ax + By = C
The ratio 7
The ratio of the sides of two squares is 4:5. If the sum of their areas is 180 cm². Find the sides of the two squares.
Laurent series
Expand the function f (z) into the Laurent series at point z0 for the given annulus. f (z) = 1 / ((z-2) * (z-3)) a) z0 = 2, 0 3
Banknotes 59503
Matej had 2 euro coins and 5 euro banknotes in his box. There were a total of 60 of them worth 171 euros. How much money did Matej have in the treasury?
Find two 2
Find two decimals between 4.56 and 6.927 so that the difference between any two consecutive decimals is the same.
Grandma
Grandma is 57 years older than her two twin granddaughters. If we add the ages of an older woman with both granddaughters, we get the number 99. How old is her old woman?
The tourist
The tourist will cross a 5 km long section in 3 hours. Part of the journey goes at a speed of 0.8 m/s and the other part at a speed of 0.4 m/s. Find the length of the first and second parts of the journey.

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