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Astrid wants to buy pumpkins and watermelons. She wants to buy more than 10 fruits, and she has a budget of 
$117.

P+W > 10 represents the number of pumpkins 
P and watermelons 
W Astrid should buy to get more than 10 fruits.

5.5 P+3.5 W <= 117 represents the number of pumpkins and watermelons she can buy on her budget of 
$117.
Does Astrid meet both of her expectations by buying 7 pumpkins and 3 watermelons?
Choose 1 answer:
(A) Astrid meets both of her expectations.
(B) Astrid buys the expected number of fruits, but she goes beyond her budget.
(C) Astrid stays within her budget, but she doesn't buy the expected number of fruits.
(D) Astrid doesn't meet either of her expectations.

Astrid wants to buy pumpkins and watermelons. She wants to buy more than 1010 fruits, and she has a budget of $117 \$ 117 .\newline P+W>10 represents the number of pumpkins P P and watermelons W W Astrid should buy to get more than 1010 fruits.\newline5.5P+3.5W117 5.5 P+3.5 W \leq 117 represents the number of pumpkins and watermelons she can buy on her budget of $117 \$ 117 .\newlineDoes Astrid meet both of her expectations by buying 77 pumpkins and 33 watermelons?\newlineChoose 11 answer:\newline(A) Astrid meets both of her expectations.\newline(B) Astrid buys the expected number of fruits, but she goes beyond her budget.\newline(C) Astrid stays within her budget, but she doesn't buy the expected number of fruits.\newline(D) Astrid doesn't meet either of her expectations.

Full solution

Q. Astrid wants to buy pumpkins and watermelons. She wants to buy more than 1010 fruits, and she has a budget of $117 \$ 117 .\newlineP+W>10 P+W>10 represents the number of pumpkins P P and watermelons W W Astrid should buy to get more than 1010 fruits.\newline5.5P+3.5W117 5.5 P+3.5 W \leq 117 represents the number of pumpkins and watermelons she can buy on her budget of $117 \$ 117 .\newlineDoes Astrid meet both of her expectations by buying 77 pumpkins and 33 watermelons?\newlineChoose 11 answer:\newline(A) Astrid meets both of her expectations.\newline(B) Astrid buys the expected number of fruits, but she goes beyond her budget.\newline(C) Astrid stays within her budget, but she doesn't buy the expected number of fruits.\newline(D) Astrid doesn't meet either of her expectations.
  1. Check Fruits Quantity: Check if the number of pumpkins (PP) and watermelons (WW) Astrid wants to buy meets her first expectation of buying more than 1010 fruits.\newlineP + W > 10\newline7 + 3 > 10\newline10 > 10
  2. Meet Expectations: Since 1010 is not greater than 1010, Astrid does not meet her first expectation of buying more than 1010 fruits. She only meets the minimum requirement.
  3. Check Budget Limit: Check if the cost of 77 pumpkins and 33 watermelons stays within her budget of $117\$117 to meet her second expectation.\newline5.5P+3.5W1175.5P + 3.5W \leq 117\newline5.5(7)+3.5(3)1175.5(7) + 3.5(3) \leq 117\newline38.5+10.511738.5 + 10.5 \leq 117\newline4911749 \leq 117
  4. Within Budget: Since 4949 is less than 117117, Astrid stays within her budget when buying 77 pumpkins and 33 watermelons.
  5. Final Decision: Determine which answer choice is correct based on the previous steps.\newlineAstrid buys the expected number of fruits (exactly 1010, not more), and she stays within her budget.

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