Answer:
a. $13
b. $3
Step-by-step explanation:
Juan wants to start a lemonade stand to earn money. He needs money to purchase the materials before he can sell the lemonade and earn money. His mother agrees to loan him $10. He makes a list of the items he wants to buy.
Cups $2
Lemons $8
Sugar $3
a. How much money do the supplies cost?
b. How much money does he have to spend?
a. Cost of each supply;
Cups $2
Lemons $8
Sugar $3
Total cost of the supplies = $2 + $8 + $3
= $13
b. How much money does he have to spend?
His mother agreed to loan him $10
Total cost of supplies = $13
Amount of money he has to spend = Total cost of supplies - Loan from his mother
= $13 - $10
= $3
The next number is half of the previous number so the answer is D
Answer: choice A. 40 liters
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Explanation:
x = number of liters of the 50% alcohol solution
If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).
So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below
0.50*x + 36 = 0.70*(40+x)
0.50*x + 36 = 0.70*(40)+0.70*(x)
0.50*x + 36 = 28+0.70*x
36 - 28 = 0.70*x - 0.50x
8 = 0.20x
0.20x = 8
x = 8/0.20
x = 40
So that is why the answer is choice A. 40 liters
Answer:
$80
Step-by-step explanation:
If we took 40% off that means that it now costs 60% of the original cost. So we are asking 60% of what number is 48?
Let x = the original cost
.6x = 48 Divide both sides by .6
x = 80.
Let's check.
What is 40% of 80?
.4 x 80 = 32. Subtract the discount from 80
80 - 32 = 48 The discounted price.
Answer:
A
Step-by-step explanation: