Problemas
Question Richard bought 3 slices of cheese pizza and 2 sodas for 8.75 Jordan bought 2 slices of cheese pizza and 4 sodas for 8.50 How much would an order of 1 slice of cheese pizza and 3 sodas cost? 3.25 5.25 7.75 17.25
Roztwór
Luis
maestro · Tutor durante 5 años
3.7
(345 Votos)
Respuesta
To solve this problem, we can set up a system of linear equations based on the given information.Let's denote the cost of 1 slice of cheese pizza as
and the cost of 1 soda as
.From the given information, we can write the following equations:3x + 2y = 8.75 (Equation 1)2x + 4y = 8.50 (Equation 2)Now, we need to solve this system of equations to find the values of
and
.We can use the elimination method to solve this system.Multiplying Equation 1 by 2 and Equation 2 by 3, we get:6x + 4y = 17.50 (Equation 3)6x + 12y = 25.50 (Equation 4)Subtracting Equation 3 from Equation 4, we get:8y = 8.00Dividing both sides by 8, we find:y = 1.00Now, we can substitute the value of
into Equation 1 to find the value of
:3x + 2(1.00) = 8.753x + 2 = 8.753x = 6.75x = 2.25So, the cost of 1 slice of cheese pizza is
1.00.Now, we can calculate the cost of an order of 1 slice of cheese pizza and 3 sodas:1x + 3y = 2.25 + 3(1.00) = 2.25 + 3.00 = 5.25Therefore, the correct answer is
5.25$.