Garien buys 5 neon tetras and 4 cardinal tetras for $15.50. marcus 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.

5n + 4c = 15.50

6n + 10c = 26.40

Solve the system and get c = 1.50 ∧ n = 1.90

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.