Algebra - math word problems - page 133 of 276
Algebra is a branch of mathematics that uses not only numbers and characters but also letters to solve operations. For example 3x+5x is 8x.Number of problems found: 5513
- Sweets
Three chocolate and seven cakes cost 85 CZK. Two chocolates and six cakes cost 86 CZK. How much are five chocolates and nine cakes? I wonder how to get the result, but only by logic, without using a system of equations. - Eq2 equations
For each of the following problems, determine the roots of the equation. Given the roots, sketch the graph and explain how your sketch matches the roots given and the form of the equation: g(x)=36x²-12x+5 h(x)=x²-4x+20 f(x)=4x²-24x+45 p(x)=9x²-36x+40 g(x) - Linear function
Using one of the following forms, x+p=q or px=q, write an to represent these problems using x as the unknown variable. Larry ran seven more miles than Barry in a month; if Larry ran 20 miles, how many did Barry run? - Sugar production
From 1 ton of beet, 150 kg of sugar is produced. 450 kg of lime is consumed to clean 1 ton of sugar. Calculate how many kgs of lime are consumed when processing 1 ton of sugar beet.
- Bags
The first bag weighs 18 kg, the second bag is one-third lighter than the first, and the third bag has three times less than the weight of all three bags. Determine their weights. - Electricity consumption cost
Last year Carol's family reduced its electricity consumption by 31% compared to the previous year and paid CZK 2883 less. How much CZK was electricity last year, and how many two years ago? - Comparing salaries
Spouses compared salaries. Mrs. Janka found a 20% higher salary than Mr. Jaroslav. Together they earned € 1,430. How much do they earn each of them? - Container with water
The weight of a container with water is 2.48 kg. Suppose the cast is 75% water, and the container with water weighs 0.98 kg. Determine the weight of the empty container. How much water was originally in the container? - Shop stores
Workers delivered fruit to stores. In the first, they deposited a quarter of the shipment. In the second, a fifth of the shipment. In the third, two-fifths of the rest, and in the fourth, 231 kg. How many fruits were there altogether?
- Apartments
The apartment on the first floor was 10% more expensive than the same apartment on the second floor. The difference was 105 Kc annually. Calculate the apartment's annual rent on the first floor and from the apartment on the second floor. - Store
Peter paid 3 euros in store, more than half the amount on arrival at the store. When he left the shop, he remains 10 euros. How many euros does he have upon arrival at the store? - Tourist
Tourists walk at 4.1 km/h. Every 5 km has a 20-minute break. How many kilometers were walked when they started at 4:40 and finished at 10:30? - Pre-Christmas 69224
The new type of PC became 15% more expensive before Christmas and is now being sold for CZK 13,800, which is 80% of the pre-Christmas (already higher) price. What was the original price of the PC before the price increase? - 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?
- Invoiced 37073
The company paid a penalty of 7.5 ‰ for the late invoice payment. How big was the invoiced amount when the company had to pay a fine of 3441 CZK? - Vegetables 26181
There were 50 liters of water in two barrels. Katka took several liters of water from the first and watered the vegetables in the garden. From the second, Kamil took as much water as was left in the first barrel and watered the flowers in the garden. How - Slovakia-Sweden 22453
Our reporter at the Hockey World Cup during the Slovakia-Sweden match said we were in a two-goal deficit at the beginning of the third period. What was the state of the match when both teams had scored a total of 4 goals by then? - Capacity 16253
The barrel is filled with water to 65% of its capacity. After adding three 10-liter buckets of water, the filling capacity of the barrel is already 77%. How many liters of water will fit in the barrel? - Participating 10481
In a particular village, two candidates ran for mayor. Candidate A was voted for by 70% of all voters, of whom 60% were women. Candidate B was voted for by all other voters and 20% of women from all participating voters. How many men voted for candidate B
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