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Debora [2.8K]
3 years ago
8

A landscaper is comparing the costs of potted plants from two nurseries. Nursery P charges $15 per plant plus a $50 delivery fee

on any order. Nursery Q charges $20 per plant and no delivery fee.
How many plants must the landscaper have delivered for the total cost to be the same at both nurseries?

A. 35

B. 10

C. 5

D. 200
Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0

Answer:

The required number of plants is 10.

Step-by-step explanation:

Nursery P charges $15 per plant plus a $50 delivery fee on any order. Nursery Q charges $20 per plant and no delivery fee.

If x number of plants that must be delivered for the total cost to be the same at both nurseries, then

15x + 50 = 20x

⇒ 5x = 50

⇒ x = 10

Therefore, the required number of plants is 10. (Answer)

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We'll use Cramer's rule for 2 equations:

ax + by = e

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