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jbainbynn3198
27.06.2019 •
Mathematics
The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 189. the total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 15. thirty more restaurant-purchased meals will be eaten in a restaurant than at home. find the number of restaurant-purchased meals eaten in a restaurant, the number eaten in a car, and the number eaten at home.
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Ответ:
87 people in the restaurant, 45 people eat in the car and 57 people eat at home.
Step-by-step explanation:
Let x be 'restaurant-purchased meals eaten in a restaurant', y be the 'restaurant-purchased meals eaten in a car' and z be the 'restaurant-purchased meals eaten at home'.
We can use the given information "the total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 189" to write an equation
.
We can use the information "the total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 15" to write another equation
.
We can use the information "thirty more restaurant-purchased meals will be eaten in a restaurant than at home" to write the third equation as x=z+30
Now we need to solve this system of three equations to get the values of x, y and z.
We can solve for x directly from the first two equations.
Substituting this value of x in the third equation we can get the value of z.
Finally, we can substitute the values of x and z in the first (or second) equation to get the value of y.
Therefore, 87 people in the restaurant, 45 people eat in the car and 57 people eat at home.
Ответ:
3*2 = 6
(6*x) = -12
(6 + -12 + 6) = 0.
So 6 times what equals -12? Negative 2.
X= -2