Subtract 4 from both sides, y = 5
Set up ratio problem
.2 oz butter / (1/15) lb jelly = x / 1 lb jelly
Then cross multiply the stuff opposite each other in the fractions... set it up as a multiplication problem
.2 × 1 = (1/15) × x
.2 = (1/15)x
Multiply both sides of equation by 15 to clear out the (1/15) fraction and get x
x = 3
GCF means greatest common factor and LCM means least common multiple. ;)
Solve for z
3z+4=34
Subtract 4 from both sides.
= 3z=30
Divide both sides by 3
z=10
Hope I helped! :D
Answer:
The greatest number of arrangements that he can make if every balloon is used is 8.
Step-by-step explanation:
The greatest number of arrangements will be the greatest common factor between 24 and 32.
GCF of 24 and 32:
We keep factoring both numbers by prime factors, while they can both be divided by the same number. So
24 - 32|2
12 - 16|2
6 - 8|2
3 - 4
There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.
This means that the greatest number of arrangements that he can make if every balloon is used is 8.
