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

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

b

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