Jordan and Sharla are saving money to go on a study abroad trip. They must provide a down payment of $650 to sign up for the trip, and they can pay the remaining balance later. Jordan raises money by mowing lawns in his neighborhood and charges $25 per lawn. Sharla raises money by selling handmade necklaces for $15 each. Sharla raises less money than Jordan does because Sharla only has enough materials to make 40 necklaces. Write two constraints to model the problem. Let x represent the number of la wns lordan mows and y represent the number of necklaces Sharla sells. (b) Can Sharla afford the down payment with the money she earns selling all her necklaces? Explain your answer.

Question

Mathematics

Joey

14 March, 05:56

Jordan and Sharla are saving money to go on a study abroad trip. They must provide a down payment of $650 to sign up for the trip, and they can pay the remaining balance later. Jordan raises money by mowing lawns in his neighborhood and charges $25 per lawn. Sharla raises money by selling handmade necklaces for $15 each. Sharla raises less money than Jordan does because Sharla only has enough materials to make 40 necklaces. Write two constraints to model the problem. Let x represent the number of la wns lordan mows and y represent the number of necklaces Sharla sells. (b) Can Sharla afford the down payment with the money she earns selling all her necklaces? Explain your answer.

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Answers (1)

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Richards · Answer 1

A) 25x+15y=650

25x+15 (40) = 650

Or it could be 25x=650 and 15y=650

B) No because she makes $15 for every necklace which she only has 40 necklaces 15x40=600