Q:

At an ice cream parlor ,ice cream cones cost $1.10 and sundaes cost $2.35 one day the receipts for a total of 172 cones and sundaes were $294.20 . How many cones were sold ?

Accepted Solution

A:
88 cones were sold.Step-by-step explanation:Let, Cones = xSundaes = yCost of one cone = $1.10Cost of one sundae = $2.35According to given statement;x+y=172 Eqn 11.10x+2.35y=294.20 Eqn 2[tex]Multiplying\ Eqn\ 1\ by\ 1.10\\1.10x+1.10y=189.2\ Eqn\ 3\\Subtracting\ Eqn\ 3\ from\ Eqn\ 2\\(1.10x+2.35y)-(1.10x+1.10y)=294.20-189.2\\1.10x+2.35y-1.10x-1.10y=105\\1.25y=105\\Dividing\ both\ sides\ by\ 1.25\\\frac{1.25y}{1.25}=\frac{105}{1.25}\\y=84[/tex]Putting value of y in Eqn 1;[tex]x+84=172\\x=172-84\\x=88[/tex]88 cones were sold.Keywords: Linear equations, multiplicationLearn more about linear equations at:brainly.com/question/10666510brainly.com/question/10699220#LearnwithBrainly