Elvira is comparing prices between two different suppliers of fresh lettuce. val’s veggies charges $250 for delivery plus $1.50 per bag of lettuce. sally’s salads charges $100 for delivery plus $4.00 per bag of lettuce. how many bags of lettuce must be purchased for val’s veggies to be the cheaper option?

61 bags of lettuce

Step-by-step explanation:

Let's create two equations representing the cost of bags of lettuce:

Val's Veggies: 250 + 1.50x = V

Sally's Salads: 100 + 4.00x = S

If you buy 60 bags of lettuce from either store, the answers will be equivalent:

If x = 60

250 + 1.50x = V

250 + 90 = V

340 = V

100 + 4.00x = S

100 + 240 = S

340 = S

Now that both equations are equivalent, all we need to do to tip the balance and make Val's Veggies cheaper is purchase one more bag of lettuce:

x = 61

250 + 1.50x = V

250 + 91.50 = V

341.50 = V

100 + 4.00x = S

100 + 244 = S

344 = S

Since V represents the price of a bag of lettuce at Val's Veggies and V is now less than S (Sally's Salads), Val's Veggies is now the cheaper option.

Therefore, 61 bags of lettuce must be purchased in order for Val's Veggies to be the cheaper option.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18