Question

Pls help and explain

Answer 1

$48/4 pizzas

Explanation:

⭐ A ratio is a fraction that relates one variable to another.

⭐ A proportion is when you make two ratios equal to each other to solve for one of the variables.

We want to find what it costs for Mike to buy 4 pizzas. To achieve this, we must make a proportion.

1. The first ratio we are given is $12/1 pizza, which means that it costs $12 for 1 pizza.
2. The ratio for Mike buying 4 pizzas is x/4 pizzas, where x is the cost of buying 4 pizzas.
3. Set these two ratios equal to each other and solve for x. *remember: keep the numerators and denominators the same units.
4. 
   `(12)/(1 pizza) = (x)/(4 pizzas)`
5. Multiply both sides of the equal sign by 4 to isolate the variable x.
6. 
   `(12)/(1 pizza) (4) = (x)/(4 pizzas) (4)`
7. 
   `48 = x`
8. ∴ It costs Mike $48 for 4 pizzas.
9. Now we need to write the ratio of cost to pizzas for buying 4 pizzas.
10. $48/4 pizzas