System of equations - practice for 14 year olds
Number of problems found: 1270
- Father and son 10
Two years ago, Philip was 3 times as old as his son, and 2 years hence, twice his age will be equal to 5 times that of his son. Find their present ages. - Two places 3
The distance between two places A and B 90 km. Two cars start together from A and B .If both the cars go in the same direction, they meet after 9 hours and if they go in opposite directions they meet after 9/7 hours . Find their speeds .(Assume that A has - Bad weather
An aircraft was slowed down during a 600 km flight due to bad weather. Its average speed was reduced by 200 km/hr from its usual speed, and the flight time increased by 30 minutes. Find the scheduled duration of the flight. - Empty rooms
In the tourist dormitory, 44 students slept in eight rooms, some of which were four-bed and others six-bed. When two beds were empty, how many four-bed and six-bed rooms were there in the dormitory?
- Regular polygons
The number of sides of two regular polygons differ by 1. The sum of the interior angles of the polygons is in the ratio of 3:2. Calculate the number of sides of each polygon. - A right 3
A right triangle has a perimeter of 300 cm . its hypotenuse is 130cm. What are the lengths of the other sides . - Violin and dance lesson
Each week, Nina takes a violin lesson and a dance lesson. The dance lesson costs ⅔ as much as the violin lesson, and the combined cost is $75. Which systems of equations could be used to find d, the cost of the dance lesson in dollars, and v, the cost of - Addition method
Solve for the variables by substitution or addition method: x + 3y = 19 5x + 3y = 35 - Dostaneli
If we get 5% of the amount that Petr has in his wallet and 4% of the amount that Paul has with him, we will have 46 CZK. However, if we get 4% from Peter's and 5% from Paul's, we will only have 44 CZK. How many crowns do Petr and Paul have with them?
- Two containers 2
Two containers, one large and one small, contain a total of 4 kilograms of bath salts. One-quarter of the bath salts from the large container are transferred to the small container, so the ratio of bath salts in the large container to that in the small on - The sum 40
The sum of the two numbers is 75. If the smaller number is 20 more than 1/5 of the larger number, find those two numbers. The large number is x, and the small number is y. - 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. - 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? - 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 - 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?
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