at lunch Noah buys two tacos for $2.35 each chips and salsa for $1.85 and lemonade for $1.60 to pay for his meal. He uses five dollars from a gift card he has and then he pays for the rest with a $20 bill which equation show how much change no receive.

Answer 1

To determine how much change Noah receives after his lunch purchase, we first need to calculate the total cost of his meal and then set up the equation to find out his change.

1. Calculate the total cost of the meal:

   • Cost of two tacos: \(2 \times 2.35 = 4.70\) dollars
   • Cost of chips and salsa: \(1.85\) dollars
   • Cost of lemonade: \(1.60\) dollars

   Now, add these amounts together: \[ \text{Total cost} = 4.70 + 1.85 + 1.60 \]

   First, add \(4.70 + 1.85\): \[ 4.70 + 1.85 = 6.55 \]

   Now add \(6.55 + 1.60\): \[ 6.55 + 1.60 = 8.15 \]

   So, the total cost of the meal is \(8.15\) dollars.

2. Noah uses a $5 gift card, then pays the remainder with a $20 bill:

   • After using the gift card, the amount Noah still owes is: \[ \text{Amount owed after gift card} = 8.15 - 5.00 = 3.15 \]

3. He then pays for the remaining \(3.15\) with a \(20\) dollar bill:

   • To find the change Noah receives, we calculate: \[ \text{Change} = 20.00 - 3.15 \]

   Now, subtract: \[ 20.00 - 3.15 = 16.85 \]

Thus, the equation showing how much change Noah receives can be written as: \[ \text{Change} = 20 - (8.15 - 5) = 16.85 \]

Or more simply: \[ \text{Change} = 20 - 3.15 = 16.85 \]

In conclusion, the change that Noah receives is \(16.85\) dollars.