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Ty has $30 gift card for digital purchases on his phone. He wants to buy some games and songs. Each game (x) cost $3 and each song (y) costs $1.50. Ty wants to buy at least 15 items for his phone.

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adioabiola

The number of songs,x and songs, y Ty can buy is; <=5 and >=10 respectively.

Simultaneous situations

From the task content; it follows that;

  • 3x + 1.50y = 30
  • x +y >= 15

From the first equation; y = 20 - 2x; Substitute 20-2x for y unto the second equation as follows;

x +20 -2x >= 15.

-x >= -5

  • Hence, x <=5

From the value of x; it follows that;

  • y >=10.

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