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Sagot :
Data:
ice cream cones: x
sundaes: y
Total receipts :T
[tex]T=1.10x+2.35y[/tex]As the total of cones and sundaes is 178:
[tex]x+y=172[/tex]The total receipts were: $294.20
[tex]294.20=1.10x+2.35y[/tex]1. Solve one of the variables in one of the equations:
Solve x in the first equation:
[tex]\begin{gathered} x+y=172 \\ x=172-y \end{gathered}[/tex]2. Use this value of x in the other equation:
[tex]\begin{gathered} 294.20=1.10x+2.35y \\ 294.20=1.10(172-y)+2.35y \\ \end{gathered}[/tex]3. Solve y:
[tex]\begin{gathered} 294.20=189.2-1.10y+2.35y \\ 294.20-189.2=-1.10y+2.35y \\ 105=1.25y \\ \frac{105}{1.25}=y \\ y=84 \end{gathered}[/tex]4. Use the value of y=84 to find the value of x:
[tex]\begin{gathered} x=172-y \\ x=172-84=88 \end{gathered}[/tex]Then, the ice cream parlor sold 88 cones and 84 sundaes
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