Question

Brandi is downloading music for her MP3 player. Albums cost $10 each, and singles cost $1 each. She wants to purchase at least 5 singles but wants to spend no more than $25 total. If Brandi purchases x albums and y singles, which of the following is a possible combination of albums and singles that Brandi could purchase and stay within her guidelines?

Answer 1

x=2 and y=5

Explanation:

Given:

cost of Album= $10

cost of singles= $1

condition 1 : She wants to purchase at least 5 singles

condition 2: she wants to spend no more than $25 total

Brandi purchases x albums and y singles, then combination of albums and singles that Brandi could purchase and stay within her guidelines=?

Cost of x albums= $10x

Cost of y singles= $1y

Applying condition 1, we get:

y≥5 ---------equation i

Applying condition 2, we get:

10x+y≤25 ---------equation ii

Solving the above two equation i and ii we get:

x=2 and y=5

So the possible combination of albums and singles that Brandi could purchase and stay within her guidelines is

10(2) + 5 =25 !