Question

Toni Roni keeps one-third of his pizza slices that his mom packed him for lunch and gives the rest away. He then bought 7 more slices in the cafeteria. He now has 49 slices. Write an equation to represent how many slices Toni started with.

a) 3x - 7 = 49
b) 3x + 7 = 49
c) 7x - 3 = 49
d) 7x + 3 = 49

Answer 1

To represent the number of pizza slices Toni started with, we can use the equation 3x + 7 = 49, where x represents the number of slices Toni started with. Toni started with 126 slices of pizza.

Step-by-step explanation:

To represent the number of pizza slices that Toni started with, we can use the equation 3x + 7 = 49, where x represents the number of slices Toni started with.

Since Toni keeps one-third of his pizza slices and gives away the rest, he keeps 1/3x slices and gives away 2/3x slices.

After buying 7 more slices in the cafeteria, Toni now has a total of 49 slices. So, the equation becomes 1/3x + 7 = 49. To solve for x, we need to subtract 7 from both sides of the equation, resulting in 1/3x = 42.

Finally, to solve for x, we can multiply both sides of the equation by 3 to get x = 126. Therefore, Toni started with 126 slices of pizza.