Teresa has a $100 gift card to her favorite restaurant. Each day, she uses her gift card to buy the same lunch for $8.50. Colin has a $75 gift card to the same restaurant. His lunches cost $6 each. Which inequality shows Teresa's gift card balance to be greater than Colin's gift card balance?

Thinking about the equation and the depth I believe that the inequality would be:

100 is greater than 75. If not that I would think the answer is 100-8.50 is greater than 75-6. The last resort would be 12 is greater than 11.

Step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116