How do you find the cost of one pizza if one pizza cost three times as much as a soda and the price of one pizza and one soda is $5?

Question

Eva Abramson · Accepted Answer

We can begin by translating the word problem into a mathematical statement. Cost of Soda + Cost of Pizza = Total Cost If we make the cost of the soda equal to n.
Then the cost of the pizza is 3 times n. Soda = n
Pizza = 3n
Total Cost = n + 3n  n + 3n = $5   4n = $5   (combine like terms) #n = ($5)/4#  (divide by 4 to isolate the variable) # n = $1.25#

Eli Assouline · Answer

undefined Let's denote the cost of one soda as "s" and the cost of one pizza as "p". According to the given information:

1. The price of one pizza is three times the price of one soda, so we have the equation:
   p = 3s

2. The total cost of one pizza and one soda is $5, so we have the equation:
   p + s = 5

To solve this system of equations, we can substitute the value of p from the first equation into the second equation:

3s + s = 5

Combining like terms:

4s = 5

Divide both sides by 4:

s = 5/4

So, the cost of one soda is $1.25. Now, we can find the cost of one pizza using the first equation:

p = 3s
p = 3 * 1.25
p = $3.75

Therefore, the cost of one pizza is $3.75.