Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.
x+y=170 (We know that soda + dogs is 170)
x-50=y (We know that dogs is equal to 50 less than sodas)
We can use substitution to solve this system of equations.
x+y=170
Sub in the value of y from the second equation
x+(x-50)=170
2x-50=170
2x=220
x=110
We now know the number of sodas sold was 110. Lets now plug this value into the equation to solve for y.
x+y=170
110+y=170
y=60
So, there were 60 hotdogs sold and 110 sodas sold.
Answer:
The correct answer is B
Step-by-step explanation:
When y=x+1is changed to 4 the slop changes too
Lines are in the form y=mx+b, where m is the slope and b is the y-intercept. This line is thus y=9/4x-14, so C is correct. Multiplying by four, we get 4y=9x-56. Adding 56 and subtracting 4y, we see that 9x-4y=56, and multiplying by -1, we get 4y-9x=-56, so A is also correct. At this point, it is clear that B and D are incorrect, so A and C only are correct.
Answer:
660
Step-by-step explanation:
Let A = number of buttons in Box A
and B = number of buttons in Box B
We have two conditions:
(1) A + B = 1200
(2) B + 360 = 3(A – 360) Remove parentheses
B + 360 = 3A - 1080 Subtract 360 from each side
(3) B = 3A - 1440 Substitute (3) into (1)
A + 3A - 1440 = 1200 Combine like terms
4A - 1440 = 1200 Add 1440 to each side
4A = 2640 Divide each side by 4
A = 660
