Answer: 4 cup
Step-by-step explanation:
Here, the total number of cups in lemonade = 20 cups
In which some are cup of lemon juice and some are cups of water.
And, the ratio of cups of lemon juice and water in one lemonade = 1 : 4
Let the cups of lemon juice in one lemonade = 1 x
And, The cups of water in one lemonade = 4 x
Where x is any number.
Thus, 1 x + 4 x = 20
⇒ 5 x = 20
⇒ x = 20/5 = 4
Thus, Damon uses 4 cup of lemon juice in one lemonade.
Answer:
90%
Step-by-step explanation:
Number of beings that preferred dubble juice to all the other juices = 36
Number of beings surveyed = x
The percentage of people that preferred dubble juice is calculated as:
(Number of beings who preferred dubble juice/Total number of beings surveyed) × 100
36/40 × 100
= 90%
90% of beings preferred dubble juice.
Answer:
Original Price = 160
Sale Price =40
Step-by-step explanation:
Let Original Price be x and Sale Price be y
y=1/4 of x (Equation 1)
x=120+y (Equation 2)
Put value of x from equation 2 in equation 1
y= (1/4)*(120+y)
y=120/4 + y/4
y-y/4=30
3y/4=30
y=30*4/3
y=40
Put value of y in Equation 2
x=120+40
x=160
<span>1) 3x-2=x+10
</span><span>Now, lets solve this step-by-step.
</span><span>
3x - 2 = x + 10
-x -x
</span><span>
</span><span>3x - x = 2x 2x - 2 = 10
</span><span>
</span><span>2x - 2 = 10
</span>2x - 2+2 = 10+2 The inverse operation helps isolate the variable.
<span>
2x = 12
2x/2 = 12/2
x = 12/2
x = 6</span><span>
Answer: x = 6
2) x + 4 = 19 - 2x </span>
We can solve this much faster
x + 4 = 19 - 2x
+2x
x+2x = 3x
3x + 4 = 19
-4 -4
19-4 = 15
3x= 15
3x/3 = 15/3
x= 5
Answer: x = 5
3) <span>8x - 20 = x + 15
Much faster now!!
8x - 20 = x + 15
-x
8x-x = 7x
7x - 20 = 15
+20 +20
15+20 = 35
7x = 35
7x/7 = 35/7
x = 35/7
x = 5
Answer: x= 5</span>
