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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
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.