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Gelneren [198K]
3 years ago
9

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the

trip. Each small car can hold 5 people and each large car can hold 8 people. The students rented 2 more large cars than small cars, which altogether can hold 94 people. Determine the number of small cars rented and the number of large cars rented?
Mathematics
1 answer:
aleksandrvk [35]3 years ago
8 0
<h2>PLEASE MARK ME AS BRAINLIEST</h2>

the number of small cars rented is 6.

The number of large cars rented is 8.

Step-by-step explanation:

Step 1 :

Each small car can hold = 5 people

Each large car can hold  = 8 people

Step 2 :

Number of small cars rented = x

Number of large cars rented = x + 2

Step 3 :

Altogether the total cars can hold 94 people.

Total people = 5 people (No. of small cars) + 8 people (No. of large cars)

               94 =  5 (x) + 8 (x+2)

               94 = 5x + 8x + 16

               78 = 13x

                  x = 78/13 = 6

∴ Number of small cars, x = 6 small cars

  Number of large cars, x+2 = 8 large cars.

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Step-by-step explanation:

≅ means to be equal to.

☆Angle DGE ≅ EGF.

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☆Let's solve that equation.

3x  + 8 = 5x - 12 \\  \frac{ - 5x \:  \:  \:  \:  \:  \:  \:   =  - 5x  \:  \:   \:  \:   \: \:  \:  \: }{ - 2x + 8 =  - 12}  \\  \frac{  \:  \:  \:  \:  \:  \:  \:  \: - 8  =  - 8}{  \frac{ - 2x}{ - 2}  =  \frac{ - 20}{ - 2} }   \\ x = 10

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☆Let's Now plug in.

DGE \\ 3x + 8 \\ 3(10) + 8 \\ 30 + 8 \\ 38

and the other:

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☆They asked for what the angle of DGF measured. So we would have to add both sides

38 + 38 = 76

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