Sorry but i need help again?

Keegan and Tracey are planning to order a pizza. They can choose between a coupon offer and the store special:



Coupon: $13.50 for a plain pizza

$1 per topping



Store Special: $12 for a plain pizza

$1.50 per topping



Write 2 equations and show all your work to find the number of toppings that make the two choices the same price.Sorry but i need help again?
Let C = coupon price

Let S = store price

Let T = number of toppings



C = 13.5 + 1T

S = 12 + 1.5T



We're looking for T when C=S

13.5 + 1T = 12 + 1.5T

Subtract 12 from both sides:

1.5 + 1T = 1.5T

Subtract T from both sides:

1.5 = 0.5T

Multiply both sides by 2:

3 = T



The price is the same when T=3.



Quick formula way to determine stuff like this:

Take the difference between the two base prices, and divide that by the difference between the per-topping prices.

1.5/0.5 = 3
Cost of pizza with coupon:

C = 13.50 + 1 * T

'simply states that the cost equals the cost of the pizza plus one dollar per topping



Cost of pizza using the store special:

C = 12 + 1.50 * T

'the cost equals the cost of the pizza plus $1.50 per topping



So if you're looking for an answer where the cost, C, is the same then you know that C is equal in both equations. This means you can set the equations equal to each other, making one equation.



13.50 + 1 * T = 12 + 1.50 * T



Now move all of the terms with a T to one side... and all the terms that do not contain a T to the other side.



13.50 - 12 = 1.50*T - 1*T 'total up the terms on both sides

1.50 = 0.50 * T 'divide both sides by 0.50

T = 3

So if you have three toppings the price will be the sameSorry but i need help again?
Y = Total cost of pizza.

X = # of toppings.



1st Pizza: Y=$13.50 + $1(X)

2nd Pizza: Y=$12.00 x $1.50(X)



13.50 + 1X = 12.00 + 1.50X

1X = 12-13.50 +1.50X

1X-1.50X = -1.50

-0.5X= -1.50

(-0.5X/-0.5) = -1.50/-0.5

X = 3



The number of toppings is 3 put it back into the two equations and y will equal $16.50.
lets start with your coupon offer.

$13.50 (for plain pizza) + $1.00 *3( three toppings. each of them is $1.00)=16.50--%26gt; equation number 1

$12 ( for plain pizza) + $1.50*3 ( three toppings. each of them is $1.50)=16.50 ---%26gt; equation number 2

So, you need three toppings for each pizza.Sorry but i need help again?
13.50 1 top= 14.50 2= 15.50 3=16.50 4 = 17.50

12.00 1 top= 13.50 2 =15.00 3=16.50 4=18.00



equations, 1) 13.50 + 1.00x = price of pizza, x represents # of toppings

2) 12.00 + 1.50x = price of pizza x represents # of toppings
just talk it through, you can use your logic

13.5 + $1 x T ( T toppings) = 13.5 + T

12 + $1.5 x T = 12 + 1.5T



12 + 1.5T = 13.5 + T

0.5T = 1.5

T =3
1) 1x + 13.50

2) 1.5x + 12



3 toppings.



1(3) + 13.50 = 16.50

1.5(3) + 12 = 16.50



There you go(:
13.50 + 1x = 12 + 1.5x

13.50 - 12 = 1.5x - 1x

1.50 = 0.5x

x = 3