Question

I’m confused can someone help

Answer 1

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Answer:

• Landon's purchase: p +5g = 17.55
• Lesley's purchase: 4p +2g = 13.50
• pretzel: $1.80
• granola bar: $3.15

Step-by-step explanation:

The equation representing either purchase will multiply the number of items by their cost, for each item, and show the total as the cost of the purchase. Here, p is defined as the cost of a pretzel; g is defined as the cost of a granola bar.

Landon's purchase

 1 pretzel + 5 bars will cost 1p +5g

 That cost is 17.55, so the equation is ...

     p +5g = 17.55

Lesley's purchase

  4 pretzels + 2 gars will cost 4p +2g

  That cost is 13.50, so the equation is ...

     4p +2g = 13.50

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To solve, you can subtract the second equation from 4 times the first:

  4(p +5g) -(4p +2g) = 4(17.55) -(13.50)

  18g = 56.70 . . . . collect terms

  g = 3.15 . . . . . . . . divide by 18

Then the cost of a pretzel can be found using the first equation.

  p + 5(3.15) = 17.55

  p = 1.80

The cost of a pretzel is $1.80; the cost of a granola bar is $3.15.