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kotegsom [21]
2 years ago
5

⚠️⚠️PLEASE READ⚠️⚠️

Mathematics
1 answer:
aniked [119]2 years ago
5 0

yes!! glad that you support this! keep your head up and keep on smiling! <3

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<em>The number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.</em>

Step-by-step explanation:

Suppose, the number of meals eaten in a restaurant is x , in a car is y and at home is z

The total number of meals eaten in a restaurant, in a car or at home is given as 163. So, the first equation will be......

x+y+z=163 .............................(1)

The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 13. So, the second equation will be......

y+z=x+13 ................................(2)

Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. So, the third equation will be......

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<em>Now plugging this x=75 into equation (3)</em>, we will get......

75=z+20\\ \\ \Rightarrow z=75-20= 55

<em>Plugging x=75 and z=55 into equation (1)</em> .........

75+y+55=163\\ \\ \Rightarrow y+130=163\\ \\ \Rightarrow y=163-130=33

So, the number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.

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