You are serving bratwurst and hamburgers at a picnic. you want at least 3 brats or hamburgers for each of your 50 guests. brats cost $1.25 each, and hamburgers cost $0.95 each. your budget is $200.

3 x 50 = 150
150 x 1.25 = 187.5
If you were to buy just brats, you would spend $187.50. So, you would have a spare $12.50, which could buy you 8 more.

3 x 50 = 150
150 x 0.95 = 142.5
If you were to buy just hamburgers, you would spend $142.50. So, you would have a spare $57.50, which could buy you 60 more.

Step 1: 6x-10=1; step 2: 6x=11