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The manager at a ice cream shop keeps track of the number of deluxe cones and regular cones sold each day and the total money received. On Wednesday, a total of 86 cones were sold, and the money collected was $534. If deluxe cones are sold for $9 and regular cones are sold for $5, how many deluxe cones and regular cones were sold?

Give your answer as an ordered pair (x,y), where x is the number of deluxe cones and y is the number of regular cones.

Respuesta :

The number of regular cones sold on Wednesday is 60, while the number of deluxe ones sold is 26.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of regular cones sold be x, and the number of Deluxe cones sold be y. Therefore, total number of cones sold can be written as,

x + y = 86

x = 86 - y

Now, the total money collected can be written as,

5x + 9y = 534

5(86 - y) + 9y = 534

430 - 5y + 9y = 534

4y = 104

y = 26

substitute the value of y in the first equation,

x = 86 - 26

x = 60

Hence, the number of regular cones sold on Wednesday is 60, while the number of deluxe ones sold is 26.

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