Question

Dory and Nemo go to Taco Bell for lunch. Dory orders three soft tacos and three double deckers for $11.25. Nemo pays $10.00 for four soft tacos and two Double Deckers. Write a system of equations that represents the lunch orders for Dory and Nemo. Use x to represent soft tacos and y to represent Double Deckers.

Answer 1

Answer: The required equation would be

`3x+3y=\$11.25---------------(1)\\4x+2y=\$10.00----------------(2)`

Explanation:

Let x be the cost of soft tacos .

Let y be the cost of double deckers.

According to question, we get that

`3x+3y=\$11.25---------------(1)\\4x+2y=\$10.00----------------(2)`

So, by using graphically, we get the values of soft tacos and double deckers.

(1.25,2.5) is the required point.

So, the cost of soft tacos is $1.25

The cost of double deckters is $2.5.

Hence, the required equation would be

`3x+3y=\$11.25---------------(1)\\4x+2y=\$10.00----------------(2)`

Answer 2

We have to write the system of equations that represents the lunch orders for Dory and Nemo. We have to use x to represent soft tacoes and y to represent Double Deckers. For Dory: 3 x + 3 y = 11.25 and for Nemo: 4 x + 2 y = 10. We cal also oslve this system: 3 x + 3 y = 11.25 ( divide both sides by 3 ); x + y = 3.75; x = 3.75 - y; then we have to put it into the other equation: 4*( 3.75 - y ) + 2 y = 10; 15 - 4 y + 2 y = 10; 2 y = 5; y = 2.50; x = 3.75 - 2.50 = 1.25. Soft tacoes cost $1.25 and Double Deckers cost $2.50. Answer: The system of equations is: 3 x + 3 y = 11.25 and 4 x + 2 y = 10.