Answer: 25 pizzas and 80 sodas
Step-by-step explanation: So writing an equation to explain this. Pizzas will be P sodas will be S Total was $260 so
4P + 2S = 260
Then the number of sodas sold was 5 more than three times the number of pizzas sold can be represented by
3P + 5 = S
Now we plug this S value into our original equation
4P + 2(3P + 5) = 260
4P + 6P + 10 = 260
subtract 10 from both sides and add the P's
10P = 250 divide by 10
P = 25 so 25 pizzas now plug this into our second equation for number of sodas
3(25) + 5 = S
75 + 5 = 80 so 80 sodas sold.
Answer: 25 pizzas and 80 sodas were sold.
Step-by-step explanation:
Let x represent the number of pizzas that were sold.
Let y represent the number of sodas that were sold.
At a football game they sold $4 pizzas and $2 sodas, which made the school $260. This is expressed as
4x + 2y = 260 - - - - - - - - - - - - - 1
The number of sodas sold was 5 more than three times the number of pizzas sold. This means that
y = 3x + 5
Substituting y = 3x + 5 into equation 1, it becomes
4x + 2(3x + 5) = 260
4x + 6x + 10 = 260
10x = 260 - 10
10x = 250
x = 250/10
x = 25
y = 3x + 5 = 3 × 25 + 5
y = 75 + 5
y = 80
