Express Using Algebra
Ellen made 7 bouquets of the same size out of c red and d yellow roses. How many roses are in each bouquet?
(c + d) ÷ 7
Find the ratio a:b, if it is given that ...
a+b 3
-------=--------
a-b 2
5 : 1
y-5 4
-------=--------
3 5
y = 7.4
Greg had $17 more than Fred, and together they had just enough money to by their mom a present that costs $85. How much money did Greg have?
Greg had $51
In a tournament team A won 7 less games than Team B, and Team B won exactly three times as many games as team C. If If Team C won g games, how many games did Team A win?
3g − 7 games
There are several peaches on a plate. Mary took c peaches from the plate, Andrew took the remaining y peaches. How many peaches were on the plate?
c + y
Find the ratio a:b, if it is given that ...
a+2b b
-------=--------
11 3
5 : 3
6 2
----------=--------
3x+2 5
x = 4 1/3
The Foster family spend 12% of their income on housing. Last month they spent on their housing $1440.00. How much money did they earn last month?
They earned $12000 last month.
John’s age in 5 years time will be the same as Jack’s age is now. In two years, Jack will be twice as old as John. How old are they now
John is 3 years old. Jack is 8 years old
Natasha had d dollars. She bought 2 ice creams which cost x dollars each. How much money does she have left?
d − 2x
Find the ratio a:b, if it is given that ...
b−3a a
-------=--------
9 3
1 : 6
3(2x–1)=8(x–5)–3
x = 20
Jacky spent 53% of all her money to buy a computer game. How much did the game cost, if Jacky had $120 before buying the game?
The game costs $63.60
Geoffrey ran 13.5 miles in 1.5 hours.
a)What was his speed in miles per hour?
b)What was his speed in miles per minute?
c)What was his speed in miles per second?
9 miles per hour.
0.15 miles per minute
0.0025 miles per second
On Sasha's desk there are c green notebooks. The number of red notebooks on her desk is 6 less than number of green notebooks. How many notebooks are there on Sasha's desk if all of them are either green or red?
2c − 6
Find the ratio a:b, if it is given that ...
a+3b a-2b
---------=----------
5 2
16 : 3
23+4(7x–9)=7(5x+8)
x = −69/7
Jenya has 12 bills in her wallet. She has a total of $82. If she has twice as many $5 bill as $1 bills, and two more $10 bills than $5 bills, how many of each does she have?
4$5 bills, 6$10 bills, 2$1 bills
If sea water contains 3.5% of salt. How much seawater do you need in order to get 17.5 lb of salt?
500 lb
At the airport, d airplanes flew away, and b were still there. How many more airplanes stayed at the airport than flew away?
b − d
If
x+y
-------=13
y
what is the value of y/x?
1/12
2x+3x−x+6x−18=22
x = 4
How much candy at $1.16 a pound should be mixed with candy worth 86 cent a pound in order to obtain a mixture of 60 pounds of candy worth a dollar a pound
28 pounds
What percent of x is 2y?
200y
-------- %
x