# 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? ##### 2 Answers Aug 10, 2018 88 ice cream cones and 84 sundaes #### Explanation: Let me assign i for number of ice cream cones sold. Number of sundaes sold is $172 - i$Now put this into equation: [1.10timesi] + [2.35times(172-i)] =$294.2

$1.10 \times i + 404.2 - 2.35 \times i = 294.2$

$- 1.25 \times i = 294.2 - 404.2$

$- 1.25 \times i = - 110$

$i = \frac{- 110}{- 1.25} = 88$

i is the number of ice cream cones sold.

$172 - i = 171 - 88 = 84$ is the number of sundaes sold.

Aug 10, 2018

$88$ number of ice cream cones were sold

#### Explanation:

Let the number of ice cream cones sold were $I$ , then , number

of sundaes sold were $S = 172 - I$. One ice cream costs $1.10 and one sundaes costs $2.35, Total sell was $294.20 $\therefore I \cdot 1.10 + \left(172 - I\right) \cdot 2.35 = 294.20$or $1.10 I - 2.35 I + 404 .20 = 294.20$or $- 1.25 I = 294.20 - 404.20 \mathmr{and} - 1.25 I = - 110.00$or $I = \frac{- 110.00}{-} 1.25 \mathmr{and} I = 88 \therefore S = 172 - I = 172 - 88 = 84$$88\$ number of ice cream cones were sold [Ans}