Question

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 ?

Answer 1

88 cones were sold.

Step-by-step explanation:

Let,

Cones = x

Sundaes = y

Cost of one cone = $1.10

Cost of one sundae = $2.35

According to given statement;

x+y=172 Eqn 1

1.10x+2.35y=294.20 Eqn 2

$Multiplying\ Eqn\ 1\ by\ 1.10\\1.10x+1.10y=189.2\ Eqn\ 3\\Subtracting\ Eqn\ 3\ from\ Eqn\ 2\\(1.10x+2.35y)-(1.10x+1.10y)=294.20-189.2\\1.10x+2.35y-1.10x-1.10y=105\\1.25y=105\\Dividing\ both\ sides\ by\ 1.25\\\frac{1.25y}{1.25}=\frac{105}{1.25}\\y=84$

Putting value of y in Eqn 1;

$x+84=172\\x=172-84\\x=88$

88 cones were sold.

Keywords: Linear equations, multiplication

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