Addison buys 5 neon tetras and 4 cardinal tetras for $15.50. Caden buys 6 neon tetras and 10 cardinal tetras for $26.40. Write a system of equations that can be used to find n, the cost of 1 neon tetra, and c, the cost of 1 cardinal tetra. What is the cost of 1 neon tetra?

Question

Mathematics

Fabian Murphy

27 March, 02:16

Addison buys 5 neon tetras and 4 cardinal tetras for $15.50. Caden buys 6 neon tetras and 10 cardinal tetras for $26.40. Write a system of equations that can be used to find n, the cost of 1 neon tetra, and c, the cost of 1 cardinal tetra. What is the cost of 1 neon tetra?

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Answers (1)

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Nicole Edwards · Answer 1

5n+4c=15.5

5n=15.5-4c

n=3.1-0.8c

6n+10c=26.4 using n found above gives us:

6 (3.1-0.8c) + 10c=26.4

18.6-4.8c+10c=26.4

5.2c=7.8

c=1.5, and since n=3.1-0.8c

n=3.1-0.8 (1.5)

n=1.9

So a cardinal tetra costs $1.50 and a neon tetra costs $1.90