Let's set up two equations:
x+y=20 We know she brought total of 20, some of each so x=small y=big
20x+ 30y=450
x+y= 20
-y -y
------------
x= 20 -y
substitute into the other equation:
20 (20-y) + 30y = 450
400 - 20y + 30y = 450
400+ 10 y = 450
10 y = 50
y= 5
So she brought 5 big cases. Then substitute the value of y into one of the equations.
5+ x = 20
x= 15
So we bought 15 small cases and 5 big cases.
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Answer:
1.23d = 52
Explanation:
If 52 meters is the water level after a 23% increase, then we can say that the initial depth d added to the 23% of d is equal to 52 meters. So:
d + 23%d = 52 meters
Since 23% is equivalent to 0.23, we get:
d + 0.23d = 52
Finally, adding the like terms, we get:
(1 + 0.23)d = 52
1.23d = 52
So, the equation is:
1.23d = 52
The measure of a supplement of an angel is 6 times the measurement of the complement angle.
ANSWER
She can make 19 batches of oatmeal.
EXPLANATION
First we can change the mixed number into an improper fraction:
In this problem, r = 2/3. The division is:
Using the KFC rule:
Solving we can see that the denominator of the first fraction can be simpliied with the numerator of the second fraction:
Tyra can make 19 batches of oatmeal with 12 2/3 cups of sugar.
48 cm is the area because 12x4 is 48.
