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GIVING A BUNCH OF POINTS + BRAINLIEST FOR RIGHT ANSWER [URGENT]

Becky and Jamie each improved their yards by planting roses and seasonal grass. They bought their supplies from the same store. Becky spent $93 on 6 roses and 7 bunches of seasonal grass. Jamie spent $196 on 14 roses and 14 bunches of seasonal grass. Find the cost of one rose and the cost of one bunch of seasonal grass.

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GIVING A BUNCH OF POINTS BRAINLIEST FOR RIGHT ANSWER URGENT Becky and Jamie each improved their yards by planting roses and seasonal grass They bought their sup class=

Respuesta :

Answer:

  • Roses = $5
  • Seasonal grass = $9

Step-by-step explanation:

Let the cost of roses be x and the seasonal grass be y.

The equations:

  • Becky: 6x + 7y = 93
  • Jamie: 14x + 14y = 196

Solve the system by elimination. Divide the second equation by 2 and subtract the first equation, solve for x:

  • 14x/2 + 14y/2 - 6x - 7y = 196/2 - 93
  • 7x + 7y - 6x - 7y = 98 - 93
  • x = 5

Then use simplified second equation to find the value of y:

  • x + y = 14
  • y = 14 - x = 14 - 5 = 9

The answer is:

  • Roses cost $5
  • Seasonal grass cost $9