Each time Trisha went to the school cafeteria, she either paid 1.75 for a bowl of soup or she spent 4.75 on a main course. During the school year, she spent 490 in total and she bought 160 items of food. Set up the system of equations that can be used to solve this question. Be sure to write "Let statements", and complete equations. Do Not Solve.

Question

Each time Trisha went to the school cafeteria, she either paid  1.75 for a bowl of soup or she spent  4.75 on a main course. During the school year, she spent  490 in total and she bought 160 items of food. Set up the system of equations that can be used to solve this question. Be sure to write "Let statements", and complete equations. Do Not Solve.

Accepted Answer

Step:1 ：Let x = the number of bowls of soupStep:2 ：Let y = the number of main coursesStep:3 ：(1.75x + 4.75y = 490) (total amount spent)Step:4 ：(x + y = 160) (total number of items)Step:5 ：(boxed{begin{cases} 1.75x + 4.75y = 490  x + y = 160 end{cases}})

Answer

Step: 1 ：Let x = the number of bowls of soupStep: 2 ：Let y = the number of main coursesStep: 3 ：(1.75x + 4.75y = 490) (total amount spent)Step: 4 ：(x + y = 160) (total number of items)Step: 5 ：(boxed{begin{cases} 1.75x + 4.75y = 490  x + y = 160 end{cases}})

Answer

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