Algebraic, Dude
Bananas cost 6 kr and apples cost 4 kr. Write an expression for the change received from 100kr if you buy some of each.
100-(4a+6b)
There are 150 good dogs, and 3 bad dogs. What % of the dogs are good dogs?
98%
Solve for x:
x/3 + 2 = 6
x = 12
What is the factor of change associated with a 20% decrease?
0,8
There are 30 soccer players, and 48 hockey players. What is the proportion of soccer to hockey players?
5:8
Eva makes 5 kr/h more than Finnegan. Greta makes 2 kr/h less than Finnegan. If together they make 222 kr/h, how much does each make?
Eva: 78 kr/h
Finnegan: 73 kr/h
Greta: 71 kr/h
The value of a house goes from 1 600 000 kr to 1 800 000 kr. By what % did the value of the house go up?
12.5%
Solve for x:
6x - 11 = 3x + 10
x = 7
The price of a computer goes from 12 000kr to 13 680 kr. What is the factor of change between the prices?
1.14
The proportion of boys to girls in a class is 4:5. If there are 12 boys, how many girls are there?
15
Maria bought two new video games. She paid 700 kr for one, and got the second for 30% off. If she paid 1260 kr in total, how much did the second game originally cost?
800 kr.
Mount Kebnekaise shrunk in 2018 due to global warming. It was 2101 in June, and in July it had shrunk by 2‰. How tall was it in July?
2097 m
Solve for x:
-2(6-x) = -2(x-1)
x = 3.5
A bike costs 9 900 kr. The price goes down twice. The first time it goes down by 30%, and the second it goes down by 40%. How much does it cost now?
4158 kr
The proportion of cross country to downhill skiers is 3:5. If there are 48 skiers in total, how many are cross country skiing?
18
If you subtract 60 from one number, you get the second number. If you multiply the smaller number by 3, you get the same thing as if you divide the bigger number by 2. What are the two numbers?
12 and 72
There are 8,9 x 106 people living in Bangladesh's largest city of Dhaka. There are 0,96 x 106 people living in Sweden's largest city (Stockholm). What % more people live in Dhaka than in Stockholm?
927% more
Solve for x
3x(2-4x)-6x = -48
x = 2
31 360 copies of a book were sold this year. The last two years the number of books sold had increased by 12% each year. How many of the books were sold two years ago?
25 000
There are 900 red cars, and 720 green cars in a parking lot. What is the proportion of green cars to red cars?
4:5
152 big pieces and 216 small pieces.
H&M stock went from 141 to 155 kr in March. In June it went from 145 to 165. By what % more did it increase in June than in March?
39%
Solve for x:
2x(x+3)-x(2x-2) = 2(15-x)
x = 3
The water in Niagara, Ontario contains about 0,05mg/L of fluoride. The city decides to increase the amount of fluoride by 5‰. How many mg of fluoride do you consume if you drink 3 litres of water?
0,15
Mary, Nancy, and Ophelia are running a relay race. Mary and Nancy's speeds are in a 4:5 proportion, and Nancy and Ophelia's speeds are in a 3:4 proportion. If their total speed was 5 minutes and 29 seconds, how long did each take to run their part of the relay?
Mary: 84 seconds
Nancy: 105 seconds
Ophelia: 140 seconds