An ice cream shop sells small, medium, and large ice cream cones. The small cone contains 5 ounces of ice cream and costs $2, the medium cone holds 7 ounces of ice cream and costs $3, and the large cone holds 10 ounces of ice cream and costs $4. Last night, the shop sold 110 ice cream cones containing a total of 758 ounces of ice cream, and collected $311. Which of the following set of equations would be used to determine how many of each different types of cones were sold? a) x+ y+z= 110 x + y +z = 758 x + y +z = 311 b) x+ 5y + 2z = 110 x + 7y + 3z = 758 x + 10y + 4z = 311 c) 5x + 7y + 10z = 758 2x + 3y + 4z = 311 d) x+ y+ z = 110 5x + 7y + 10z =758 2x + 3y + 4z = 311

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Chapter5: Systems Of Linear Equations
Section5.5: Solve Mixture Applications With Systems Of Equations
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An ice cream shop sells small, medium, and large ice cream cones. The small cone contains
5 ounces of ice cream and costs $2, the medium cone holds 7 ounces of ice cream and costs
$3, and the large cone holds 10 ounces of ice cream and costs $4. Last night, the shop sold
110 ice cream cones containing a total of 758 ounces of ice cream, and collected $311.
Which of the following set of equations would be used to determine how many of each
different types of cones were sold?
a) x+y+z= 110
x+ y+z= 758
x + y+z= 311
b) x+ 5y + 2z = 110
x + 7y + 3z = 758
x + 10y + 4z = 311
c) 5x + 7y + 10z = 758
d) x+ y+ z= 110
5x + 7y + 10z = 758
2x + 3y + 4z = 311
2x + 3y + 4z = 311
Transcribed Image Text:An ice cream shop sells small, medium, and large ice cream cones. The small cone contains 5 ounces of ice cream and costs $2, the medium cone holds 7 ounces of ice cream and costs $3, and the large cone holds 10 ounces of ice cream and costs $4. Last night, the shop sold 110 ice cream cones containing a total of 758 ounces of ice cream, and collected $311. Which of the following set of equations would be used to determine how many of each different types of cones were sold? a) x+y+z= 110 x+ y+z= 758 x + y+z= 311 b) x+ 5y + 2z = 110 x + 7y + 3z = 758 x + 10y + 4z = 311 c) 5x + 7y + 10z = 758 d) x+ y+ z= 110 5x + 7y + 10z = 758 2x + 3y + 4z = 311 2x + 3y + 4z = 311
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