lena sells earrings from a booth at the arts fair. she pays $200 to rent the booth. she makes $5 from each…

lena sells earrings from a booth at the arts fair. she pays $200 to rent the booth. she makes $5 from each pair of earrings she sells. her profit, $p$, can be found using the following equation, where $n$ is the number of pairs of earrings sold.\n\n$p = 5n - 200$\n\nhow many pairs of earrings must lena sell to earn a profit of $450?\n\n(a) 100\n(b) 130\n(c) 140\n(d) 150

lena sells earrings from a booth at the arts fair. she pays $200 to rent the booth. she makes $5 from each pair of earrings she sells. her profit, $p$, can be found using the following equation, where $n$ is the number of pairs of earrings sold.\n\n$p = 5n - 200$\n\nhow many pairs of earrings must lena sell to earn a profit of $450?\n\n(a) 100\n(b) 130\n(c) 140\n(d) 150

Answer

Explanation:

Step1: Substitute profit value

Given $P = 450$ and $P = 5n-200$, we substitute $P$: $450 = 5n - 200$

Step2: Isolate the term with $n$

Add 200 to both sides of the equation: $450+200=5n - 200+200$ $650 = 5n$

Step3: Solve for $n$

Divide both sides by 5: $n=\frac{650}{5}=130$

Answer:

B. 130