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An ice cream shop made $370.10 selling 70 ice cream cones. Small cones cost 3.95 and large cones cost 5.75. How many large cones did the ice cream shop sell

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Answer:the ice cream shop sold 52 large cones.

Explanation:

Let x represent the number of small

ice cream cones that the shop sold.

Let y represent the number of large

ice cream cones that the shop sold.

The shop sold 70 ice cream cones. It means that

x + y = 70

Small cones cost 3.95 and large cones cost 5.75. The total sales made from the selling 70 ice creams is $370.10. It means that

3.95x + 5.75y = 370.1 - - - - - - - - - -1

Substituting x = 70 - y into equation 1, it becomes

3.95(70 - y) + 5.75y = 370.1

276.5 - 3.95y + 5.75y = 370.1

- 3.95y + 5.75y = 370.1 - 276.5

1.8y = 93.6

y = 93.6/1.8

y = 52

x = 70 - 52

x = 18

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