Two friends went to a restaurant and ordered one plain pizza and two sodas . Their bill totaled $15.95. Later that day, five friends went to the same restaurant. They ordered three plain pizzas and each person had one soda. Their bill totaled $45.90.
What's the system of equations to determine the price of one plain pizza
The system of equations you'll need is: P+2S= 15.95 3P+5S= 45.90 P= Plain pizza and S=sodas We can also solve using elimination. By just multiplying the first equation by -3 to eliminate p. -3p-6s=-47.85 3p+5S=45.90 (-S=- 1.95)/-1 So, one soda is 1.95. Let's put S value in the first equation. P+2(1.95)= 15.95 P+3.90= 15.95 15.95-3.90 12.05 A plain pizza is equal to 12.05. Let's check our values by using the second equation. 3(12.05)+5(1.95)=45.90 36.15+9.75=45.90 45.90=45.90 So, the price of a plain pizza is $12.05.
