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Ostrovityanka [42]
3 years ago
9

a boy purchased a party-length sandwich 53 in. long. He wants to cut it into three pieces so that the middle piece is 6 in. long

er than the shortest piece and the shortest piece is 8 in. shorter than the longest piece. How long should the three pieces be?
Mathematics
1 answer:
Lisa [10]3 years ago
4 0
X + 6 + x + 8 + x = 53
3x + 14 = 53
3x = 39
x = 13 and the other 2 pieces are
19 and
21


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We are going to make simultaneous equations.
x will be our $3 ice cream and y will be our $5 ice cream

Equation1 ----            x + y = 50   (the sum of all the ice creams they sell)
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Now I will use the distributive law on the 3 and what's in the parentheses:
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Now I will combine like terms (the -3y and the 5y)
2y + 150 = 180
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and get y= 15 They sold 15 ice creams that cost $5 each
Since equation 1  is  x+y=50 we can replace y with 15
x + 15 = 50    Now subtract 15 from both sides  x = 35
Since x represents the $3 ice creams, they sold 35 of those.
Check:
35 X 3 = $105
15 x 5  = +  <u>75
</u>               $180  

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