Question

Last week, an online site received $355.60 for selling 20 cell phone accessories Cell phone cases sell for $10.98 and Airpods sell for $27.98.

1. Define the variables.
2. Then, write the system of equations to model this situation.​

Answer 1

i. Cell phone cases

Airpods

ii. x + y = 20 .............. 1

10.98x + 27.98y = 355.60 .............. 2

iii. x = 12, and y = 8

Explanation:

Amount of sale = $355.60

Cost of Cell phone cases = $10.98

Cost of Airpods = $27.98

Number of phone accessories sold = 20

1. The variables to be considered in the question are:

i. Cell phone cases

ii. Airpods

2. Let the number of cell phone cases bought be represented by x, and that of airpods be represented by y.

Thus,

x + y = 20 .............. 1

10.98x + 27.98y = 355.60 .............. 2

From equation 1,

x = 20 -y

substitute the value of x in equation 2

10.98(20 - y) + 27.98y = 355.60

219.6 -10.98y + 27.98y = 355.60

17y = 136.60

y =
`(136.60)/(17)`

y = 8.0353

So that,

x = 20 -y

= 20 - 8.0353

x = 11.9647

Thus,

x = 12, and y = 8