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Aeva is selling friendship pins as a service project. Each pin with green beads sells for $3. Each pin with red beads sells for $2. She raised $312. The number of pins with green beads is 11 fewer than the number of pins with red beads. How many red pins did Aeva sell?
47
58
69
80

Respuesta :

Answer:69

Step-by-step explanation:

69•2= 138

69-11=58

58•3=174

174+138=312

Answer: Aeva sold 69 red pins.

Step-by-step explanation:

Let x represent the number of pins with green beads that Aeva sold.

Let y represent the number of pins with red beads that Aeva sold.

Each pin with green beads sells for $3. Each pin with red beads sells for $2. She raised $312. It means that

3x + 2y = 312- - - - - - - - - - -1

The number of pins with green beads is 11 fewer than the number of pins with red beads. It means that

x = y - 11

Substituting x = y - 11 into equation 1, it becomes

3(y - 11) + 2y = 312

3y - 33 + 2y = 312

3y + 2y = 312 + 33

5y = 345

y = 345/5

y = 69

x = y - 11 = 69 - 11

x = 58

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