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ISEE Middle Level
Quantitative Reasoning

Fundraiser Gift Basket Profit

Very Hard Word Problems Algebraic Reasoning

A class of students is planning a fundraiser where they will sell two types of gift baskets: a sweet basket and a savory basket. Each sweet basket costs $p$ dollars to make and sells for $s$ dollars. Each savory basket costs $q$ dollars to make and sells for $r$ dollars. If the students want to make a total profit of $T$ dollars after expenses, they plan to sell $x$ sweet baskets and $y$ savory baskets. The profit equation can be represented as:

$$ (s - p)x + (r - q)y = T $$

Suppose the cost to make a sweet basket is $5 and sells for $10, while the cost to make a savory basket is $8 and sells for $15. To achieve a profit of $500, how many sweet baskets and savory baskets must be sold if they decide to sell double the number of sweet baskets as savory baskets? Let $y$ represent the number of savory baskets sold.

Hint

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