Equivalent Fractions
Solve for x:
2/3 = x/12
x = 8
Cross Multiply
In geometry class, the girl to boy ratio is 9 to 4. If there are 45 girls, how many boys are there?
____________ = ____________
20 boys
9/4 =45/x
Find the unit rate for the following problem:
27 calls in 9 hours
Calls ____________ =
Hours
3 calls per 1 hour
Find the unit rates:
4 miles / 1/4 hour = x miles / 1 hour
____________ = ___________
x = 16 miles per hour
On a graph, the line has to go through what to be proportional?
What is the origin or point 0,0
Solve for x:
x/10 = 2/5
x = 4
Cross Multiply
The ratio of the number of girls to the number of boys in a chess club is 3 to 2. There are 14 boys in the chess club, What is the number of girls in the chess club?
____________ = ____________
21 girls
3/2=x/14
21 yards of yarn costs $42. What is the price per yard?
(Hint: money always goes on top)
____________ =
$2 per yard
Find the Unit Rate:
1/4 feet / 5/6 minutes = x feet / 1 minute
___________ = ___________
x = 6/20 or 3/10 feet per minute
Which machine is a proportional relationship?
What is its constant of proportionality?
What is machine Q
The constant of proportionality is 6
Solve for x:
5/8 = x/64
x=40
Cross Multiply
For every 3 chocolate chip cookies that Angel bakes, he bakes 2 oatmeal raisin cookies. If he bakes 80 oatmeal raisin cookies, how many chocolate chip cookies did he bake? (Hint: chocolate chip over oatmeal raisin)
____________ = ____________
120 cookies
3/2=x/80
Spenser bought 5 chocolate bars for $3.70. What is the unit price for 1 chocolate bar?
__________ =
$0.74 per 1 chocolate bar
Set up rates then solve:
It takes Daniel 2 1/2 hours to mow 3/4 of his lawn. How long does it take him to mow his entire lawn?
___________ = __________
20/6 or 10/3 or 3 1/3 hours
What are the 2 things to remember with proportional relationships?
1. The graph will pass through the origin (0,0)
2. The equation is linear (a straight line) and can be written in the form of y=mx