Question

a landscaping company counted 51 invoices for tree services at the end of the month. they charge $375 for a tree installation and $54 for tree trimming. the total dollar amount of the invoices was $6,606. let x represent the number of installations and y represent the number of trimmings. write the ordered pair, (x,y), that represents the situation.

Answer 1

We used the elimination method to find the ordered pair, (x,y), that represents the situation is (12,39).

Number of invoices = 51

Charge for tree installation = $375

Charge for tree trimming = $54

Total amount in invoices = $6,606

Let x and y represent number of installations and number of trimmings respectively.

Hence,

x + y = 51  ...(1)

375x + 54y = 6606

3 (125x + 18y) = 3*2202

125x + 18y = 2202  ...(2)

Multiplying (1) by 18, we get

18x + 18y = 918  ...(3)

(2) - (3)

107x + 0 = 1284

x = 1284/107 = 12

Hence,

y = 51 - 12 = 39.

To learn more about elimination method, here:-

brainly.com/question/13877817

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