Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Linda is selling handmade jewelry to earn money for camp. Bracelets sell for $3\$3 and necklaces sell for $15\$15, and she needs to make at least $320\$320 in revenue to cover the cost of camp.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of bracelets\newliney=y = the number of necklaces\newlineChoices:\newline(A) 3x+15y3203x + 15y \leq 320\newline(B) 3x+15y>3203x + 15y > 320\newline(C) 3x+15y3203x + 15y \geq 320\newline(D) 3x+15y<3203x + 15y < 320

Full solution

Q. Linda is selling handmade jewelry to earn money for camp. Bracelets sell for $3\$3 and necklaces sell for $15\$15, and she needs to make at least $320\$320 in revenue to cover the cost of camp.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of bracelets\newliney=y = the number of necklaces\newlineChoices:\newline(A) 3x+15y3203x + 15y \leq 320\newline(B) 3x+15y>3203x + 15y > 320\newline(C) 3x+15y3203x + 15y \geq 320\newline(D) 3x+15y<3203x + 15y < 320
  1. Calculate Bracelets Revenue: Bracelets cost $3\$3 each, so if xx is the number of bracelets sold, then the total revenue from bracelets is 3x3x.
  2. Calculate Necklaces Revenue: Necklaces cost $15\$15 each, so if yy is the number of necklaces sold, then the total revenue from necklaces is 15y15y.
  3. Determine Minimum Revenue: Linda needs to make at least $320\$320, so the combined revenue from bracelets and necklaces should be greater than or equal to $320\$320.
  4. Formulate Inequality: The inequality that represents this situation is 3x+15y3203x + 15y \geq 320.

More problems from Write two-variable inequalities: word problems