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------------------------------------------------ Theresa has $50 to spend on a fruit salad for a party. Oranges are $2.50 per pound and pineapple is $4.00 per pound.

Find the equation in standard form that represents how many pounds of each kind of fruit she can buy.

The problem asks for a financial equation related to buying fruit. The equation 2.5x + 4y = 50 represents how many pounds of oranges (x) and pineapple (y) can be bought with $50. This can be converted to standard form as: 10x +16y = 200.

Explanation:

The subject of the problem involves finding costs relating to the purchasing of different types of fruit, which is a topic in financial mathematics. In this case, Theresa has $50 to spend on oranges and pineapple for a fruit salad. To create an equation that represents this scenario, we let x be the pounds of oranges she buys and y be the pounds of pineapple.

Since oranges are $2.50 per pound and pineapple is $4.00 per pound, the total amount spent would be 2.5x (for oranges) plus 4y (for pineapples). Consequently, since Theresa has $50 in total, the equation can be presented as: 2.5x + 4y = 50.

This is in slope-intercept form. To get the equation in standard form, we can multiply through by 4 to eliminate the decimal, arriving at: 10x + 16y = 200.

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