A. -2x + 3y = -15
-2x + 2x + 3y = 2x - 15
3y = 2x - 15
3 3
y = ²/₃ - 5
A is correct.
B. y = ²/₃ - 5
B is also correct.
C. 6y = 4x - 30
6 6
y = ²/₃x - 5
C is also correct.
D. y + 3 = ²/₃(x - 3)
y + 3 = ²/₃(x) - ²/₃(3)
y + 3 = ²/₃x - 2
- 3 - 3
y = ²/₃x - 5
D is also correct.
The answer to the problem is A, B, C, and D.
The grocer wants to make a 10 pound mixture
p - pounds of peanuts
c - pounds of cashews
therefore the total pounds should be equal to 10 pounds
p + c = 10 -----> 1)
the cost for ;
peanuts - 4.00 per pound * p pounds = 4p
cashews - 6.50 per pound * c pounds = 6.5c
the price of 10 pounds mixture = 4.75 per pound * 10 pounds = 47.5
4p+6.5c = 47.5 ---> 2)
to solve for p and c lets use simultaneous equations
p + c = 10 -----> 1)
4p+6.5c = 47.5 ---> 2)
multiply 1st equation by 4
4p + 4c = 40 ---> 3)
subtract 3rd equation from the 2nd
2.5c = 7.5
c = 3
substituting c= 3 in 1st equation
p+c = 10
p+3 = 10
p = 7
therefore 3 pounds of cashews and 7 pounds of peanuts are needed to make the mixture
The answer is 1,032. (also known as answer choice A)
