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Archy [21]
4 years ago
9

Three even numbers sum up to 252. the smallest is half the largest and the middle number is 3/4 the largest. what are the three

numbers? enter as a comma separated list.
Mathematics
1 answer:
Mnenie [13.5K]4 years ago
3 0
Let the largest number be x:
smallest number=1/2x
middle number=3/4x
total sum of the numbers is:
x+1/2x+3/4x=252
9/4x=252
solving for x we get
x=252×4/9
x=112
thus the largest number is 112
middle number=3/4*112=84
smallest number=1/2×112=56
Answer: 56,84,112
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creativ13 [48]

Answer: 160 miles

==========================================

Explanation:

x = number of miles driven, y = cost

First plan: y = 0.08x + 61.98

Second plan: y = 0.13x + 53.98

Equate the two right hand sides of each equation; solve for x

0.13x + 53.98 = 0.08x + 61.98

0.13x - 0.08x = 61.98 - 53.98

0.05x = 8

x = 8/0.05

x = 160

---------

Extra Info: plugging x = 160 into each equation gives us...

y = 0.08x + 61.98 = 0.08*160+61.98 = 74.78

y = 0.13x + 53.98 = 0.13*160 + 53.98 = 74.78

Therefore, driving 160 miles for each plan yields the same cost $74.78, which helps us confirm we have the right answer.

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