Clever I Portal ALEKS-Undsey Fisher-Leam dents. org bookmarts dever Chromebook Infor. google classroom PowerSchool 4 emails DeltaMath Student. DL Edulastic Inear Equations Solving a word problem with two unknowns using a linear equation On Wednesday, a local hamburger shop sold a combined total of 450 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday? \( \square \) hamburgers

To solve this problem, let's define two variables: let \( h \) represent the number of hamburgers sold, and \( c \) represent the number of cheeseburgers sold. We know from the problem that the total number sold is 450, so we can set up our first equation: \[ h + c = 450 \] We also know that the number of cheeseburgers sold is two times the number of hamburgers sold, so our second equation is: \[ c = 2h \] Now, substituting the second equation into the first gives us: \[ h + 2h = 450 \] \[ 3h = 450 \] Dividing by 3: \[ h = 150 \] So, the number of hamburgers sold on Wednesday is 150. For the cheeseburgers, you can simply substitute back into the second equation: \[ c = 2h = 2(150) = 300 \] So there you have it: 150 hamburgers and 300 cheeseburgers! Enjoy your math snack! 🍔📐 In the real world, knowing how to set up and solve equations can help businesses analyze sales data effectively. For example, the hamburger shop could use this approach to predict future sales figures based on past performance, developing strategies for inventory management and marketing campaigns that cater to customer preferences. Common mistakes when solving linear equations include forgetting to accurately distribute across terms and misplacing variable substitutions. Always double-check your equations before finalizing. Additionally, visual aids like graphs can be extremely helpful in verifying your solutions by visually comparing the lines or points represented by your equations!