Samri and vinita both have cell phones. samri pays $75.89 per month plus $0.12 per text message to use his cellphone. vinita pays $27.41 per month plus $0.36 per text message to use her cellphone. one month, they paid the sam amount for cellphone service. how many text messages did each send?

75.89 + 0.12x = 27.41 + 0.36x

75.89 - 27.41 = 0.24x

48.48 = 0.24x

x = 48.48 / 0.24

x = 202

Each sent 202 text messages

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.