[Video] Q11: B = 2.35 + 0.25x c = 1.75 + 0.40x in the equations above, b and c represent the price per pound, in dollars, of beef and chicken, respectively, x weeks after july 1 during last summer. what was the price per pound of beef when it was equal to the price per pound of chicken?

Answer Choices

  • $2.60

  • $2.85

  • $2.95

  • $3.35

Explanation for Question 11 From the Math (No Calc) Section on the Official Sat Practice Test 1

So number 11 has given us two equations where B and C are the 2 price of beef and chicken and excess the week after July 1st. 3 Um, and they want to know what was the price, 4 when, what was the price per pound of beef when it was equal to 5 the price per pound of chicken? 6 Right? So for looking at this, it says that B and C are the 7 price per pound. So we want a case where our price per pounds are 8 equal, right? So we want our B and our C to be equal to 9 each other. Now, if I want B to be equal to C, 10 then that means that this whole equation that is equal to B must also 11 be equal to the whole equation, this equal to C. 12 So I can rewrite this the equal to C as 2.35 13 plus 0.25 X, 14 move this down here. 15 So I have space is equal to right, 16 cause this is all B. And so all of that is equal to 1.75 17 plus 0.40 X. 18 And this is all equal to C. And so we know that we want 19 to be in C to be equal to each other. And if we go 20 back and look more closely at our question, they want to know the price 21 per pound, right? And so X was the weeks after July. 22 So if I can first find X the weeks after July, 23 then I can use that value of X to find what the actual price 24 per pound was. So step one, here is solve for X. 25 I can do that first by subtracting 1.75 from both sides. 26 So I can get all my normal numbers to one side of the equation 27 here. So those go here, 28 13 minus seven, that's going to be six. 29 So 0.60 plus 0.25 X is going to be equal to 0.40 30 X...

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