At Starbucks, a chocolate cake pop is $2.65 and the grande Pumpkin Spice Latte at $5.30. Bobbi ordered 6 items for a total of $21.20. Write the equations and graph.

Question

asked Jan 11, 2024 44.1k views

1 Answer

Justin Emlay · Answer 1 · 2024-01-18T06:12:02+0000

The number of chocolate cake pop and number of pumpkin spice Lattle is 4 and 2 respectively?

The graph of the equation has been attached.

How to solve system of equation?

Let

Number of chocolate cake pop = x

Number of pumpkin spice Lattle = y

x + y = 6. (1)

2.65x + 5.30y = 21.20. (2)

From (1)

x = 6 - y

Substitute into (2)

2.65x + 5.30y = 21.20

2.65(6 - y) + 5.30y = 21.20

15.9 - 2.65y + 5.30y = 21.20

- 2.65y + 5.30y = 21.20 - 15.9

2.65y = 5.30

y = 5.30/2.65

y = 2

Substitute y = 2 into (1)

x + y = 6

x + 2 = 6

x = 6 - 2

x = 4

Therefore,

chocolate cake pop = 4

pumpkin spice Lattle = 2