Alicia runs a small business mowing yards in the summer. For every yard she mows, she earns $40. However, she spends part of this money on gasoline for her lawnmower. Each gallon of gasoline costs $3. Write an expression for the amount of money that Alicia earns in a day, where y is the number of yards she mows and g is the number of gallons of gasoline she buys. $40g + $3y

$40y + $3g

$3g − $40y

$40y − $3g

$40y - $3g

Step-by-step explanation:

it wouldn't be c because the 3 and 40 are on the wrong side. and it wouldn't be a because the y and g are on the wrong number. you should realise that the variables y and g need to go to the corresponding amount and $40 is how much she get by mowing lawns (y) and $3 is how much gasoline costs to take away from her total amount. so its now between b and d. it is d because you are subtracting 3 from 40 because that how much she spent and it takes away from her total.

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.