SASHA AND FRANCISCO WERE SELLING LEMONADE FOR $.25 PER HALF CUP AND $.50 PER FULL CUP. AT THE END OF THE DAY THEY HAD COLLECTED $15 AND HAD USED 37 CUPS. HOW MANY FULL CUPS AND HOW MANY HALF CUPS DID THEY SELL?
You guys are both wrong. 14 half cups and 23 full cups.
14 x .25 = $3.50
23 x .50 = $11.50
This equals $15.00 total.
*At a depth of x feet under water, the pressure in pounds per square inch is .43x + 14.7 . What is the pressure in pounds per square inch for a depth of 10 feet? 100 feet? O feet (surface of the water)?
To solve this problem, we need to use a system of equations. Let's define the variables:
Let:
x = the number of half cups sold
y = the number of full cups sold
We know that the price for a half cup is $0.25 and the price for a full cup is $0.50. The total revenue from selling half cups can be calculated by multiplying the number of half cups sold by the price per half cup, which is 0.25x. Similarly, the total revenue from selling full cups can be calculated by multiplying the number of full cups sold by the price per full cup, which is 0.50y.
From the information given in the problem, we can set up the following system of equations:
Equation 1: 0.25x + 0.50y = 15 (to represent the total revenue collected)
Equation 2: x + y = 37 (to represent the total number of cups sold)
Now, we can solve this system of equations to find the values of x and y, which represent the number of half cups and full cups sold, respectively.
To solve the system of equations, we can use the substitution method or the elimination method. Let's solve it using the substitution method:
1. Solve Equation 2 for x:
x = 37 - y
2. Substitute the value of x in Equation 1:
0.25(37 - y) + 0.50y = 15
3. Simplify and solve for y:
9.25 - 0.25y + 0.50y = 15
0.25y = 15 - 9.25
0.25y = 5.75
y = 5.75 / 0.25
y = 23
4. Substitute the value of y back into Equation 2 to find x:
x + 23 = 37
x = 37 - 23
x = 14
So, Sasha and Francisco sold 14 half cups and 23 full cups of lemonade.
15 FULL CUPS AND 22 HALF CUPS
You should check your "caps lock" key, it appears to be stuck.
number of 1/2 cups ---- x
number of whole cups --- 37-x
25x + 50(37-x) = 1500
25x + 1850 - 50x = 1500
-25x = -350
x = 14
etc
Lena,did you not check your answer?
It does not work, mine does.
Always check your results by testing them for the original conditions
14(.25) + 22(.50) ≠ $15.00