Olives cost $7 per pound, and tomatoes cost $2 per pound. Jack bought four times as much tomatoes as olives, and his total bill $11.25. How much of each product did he buy.

Respuesta :

The number of olives and number of tomatoes that Jack bought are respectively 0.75 pounds and 3 pounds.

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Let the number of olives be x. Now, Jack bought 4 times as much tomatoes as olives. Thus;

Number of tomatoes = 4x

Cost of Olives = $7 per pond

Cost of Tomatoes = $2 per pound

Thus;

7x + 2(4x) = 11.25

15x = 11.25

x = 11.25/15

x = 0.75 pounds

Amount of tomatoes = 4 * 0.75 = 3 pounds

Thus, we conclude that the number of olives and number of tomatoes that Jack bought are respectively 0.75 pounds and 3 pounds.

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