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Naily [24]
3 years ago
11

During the spring car wash, the activities club washed 14 fewer cars than during the summer car wash. They washed a total of 96

cars during both car washes. How many cars did they wash during the spring car wash?
Mathematics
1 answer:
Mashutka [201]3 years ago
4 0
You can make an equation to solve this, but establishing knowns, unknowns, and relationships.

# in spring wash = x
# in summer       = x + 14
Total Washes     = 96

we know:
total = summer + spring

96 = (x) + (x + 14)
96 = 2x + 14
82 = 2x

"x" = 41

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Convert each mixed number to an improper fraction

--------------------------------------------
Convert 6&1/2 to an improper fraction

6&1/2 = (6*2+1)/2
6&1/2 = (12+1)/2
6&1/2 = 13/2
--------------------------------------------
Do the same for 9&1/4

9&1/4 = (9*4+1)/4
9&1/4 = (36+1)/4
9&1/4 = 37/4
--------------------------------------------
Now multiply the improper fractions 13/2 and 37/4. Multiply straight across

(13/2)*(37/4) = (13*37)/(2*4)
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--------------------------------------------
The last step is to use long division to find the mixed number equivalent of 481/8

Or we an say 
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So 60*8+1 = 480+1
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Making the final answer to be choice C

Another way to get the answer is to convert 481/8 into a decimal to get 60.125 and then convert that back to a mixed number. You should get 60&1/8
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