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marshall27 [118]
3 years ago
11

You drive 150 miles in 3 hours before stopping for 30 minutes to have lunch and gas.  After lunch you travel 100 miles in an hou

r and a half.  What was your average speed?
Mathematics
1 answer:
KiRa [710]3 years ago
7 0
Average speed = total miles driven / total driving time
average speed = (150 + 100) / (3 + 1 1/2) =
                             250 / (4 1/2) =
                             250 / (9/2) =
                             250 * 2/9 =
                             500 / 9 = 55.55 mph
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So what we have to do to solve this problem is to write down those values in 2 equations (one that represents what you sold and the other what your friend sold) compare them and find how much each ticket is worth.
First equation : 11x + 8y = 158
Where x = how much each adult ticket is
and y = how much each student ticket is

The second equation is : 5x + 17y = 152

Using the method of substitution , we can compare each equation side by side:
11x + 8y = 158
5x + 17y = 152
Now we need to set one of the variables of both equations so they are equal:
11(5)x + 8(5) = 158(5)
5(11)x + 17(11)x = 152(11)

55x + 40y = 790
55x + 187y = 1672

Then we subtract the second equation by the first one

55x-55x + 187y - 40y = 1672 - 790
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y = 6
The we apply y to one of the equations to discover x :
11x + 8y = 158
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So the awnser is :
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Answer:

\large\boxed{7\dfrac{8}{9}+3.1=10\dfrac{89}{90}}

Step-by-step explanation:

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3 0
3 years ago
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Answer:

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