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2 years ago

10

a box of national brand cornflakes is $2.09 for 12 ounces in a box of store label cornflakes is $3.09 with 20 ounces find the un

it price for each

1 answer:

hichkok12 [17]2 years ago

8 0

2.09/12 = 0.174...rounds to 17 cents per oz
3.09/20 = 0.154..rounds to 15 cents per oz

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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......

$x= z+20..................................(3)$

First, <u>substituting equation (2) into equation (1)</u>, we will get........

$x+(x+13)=163\\ \\ \Rightarrow 2x+13=163\\ \\ \Rightarrow 2x=163-13=150\\ \\ \Rightarrow x=\frac{150}{2}=75$

<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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2 years ago