Question

sarah delivers flowers. she earns 5.50 to deliver a small arrangements and 8.25 to deliver a large arrangement. last week she made me 52 deliveries and earned a total of 343.75. how many large arrangements did she deliver

Answer 1

Let:

x = Number of small arrangements delivered

y = Number of large arrangements delivered

She made me 52 deliveries, so:

x + y = 52

and she earned a total of 343.75:

5.50x + 8.25y = 343.75

we have a 2x2 System of Equations, where:

x + y = 52 (1)

5.50x + 8.25y = 343.75 (2)

Using elimination method:

Multiply equation (1) by 5.50:

5.50x + 5.50y = 286 (3)

Subtract (2) from (3): (3) - (2):

5.50x + 5.50y - 5.50x - 8.25y = 286 - 343.75

-2.75y = -57.75

Divide both sides by -2.75:

-2.75y/-2.75 = -57.75/-2.75

y = 21

Replacing y into (1)

x + 21 = 52

Solving for x:

Subtract 21 from both sides:

x + 21 - 21 = 52 - 21

x = 31