at most, alana can spend $40 on carnival tickets. ride tickets cost $4 each, and food tickets cost $2 each…

at most, alana can spend $40 on carnival tickets. ride tickets cost $4 each, and food tickets cost $2 each. alana buys at least 16 tickets. the system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.\n\nr + f≥16\n4r + 2f≤40\n\nwhat is the maximum number of ride tickets she can buy?\no 4\no 6\no 10\no 12

at most, alana can spend $40 on carnival tickets. ride tickets cost $4 each, and food tickets cost $2 each. alana buys at least 16 tickets. the system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.\n\nr + f≥16\n4r + 2f≤40\n\nwhat is the maximum number of ride tickets she can buy?\no 4\no 6\no 10\no 12

Answer

Explanation:

Step1: Isolate f in the first - inequality

$f\geq16 - r$

Step2: Substitute f into the second inequality

$4r+2(16 - r)\leq40$

Step3: Expand the left - hand side

$4r + 32-2r\leq40$

Step4: Combine like terms

$2r+32\leq40$

Step5: Subtract 32 from both sides

$2r\leq40 - 32$ $2r\leq8$

Step6: Divide both sides by 2

$r\leq4$

Answer:

4