MATH SOLVE

3 months ago

Q:
# 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?

Accepted Solution

A:

Answer:x=2 and y=5Step-by-step explanation:Given:cost of Album= $10cost of singles= $1condition 1 : She wants to purchase at least 5 singlescondition 2: she wants to spend no more than $25 totalBrandi 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= $10xCost of y singles= $1yApplying condition 1, we get:y≥5 ---------equation iApplying condition 2, we get:10x+y≤25 ---------equation iiSolving the above two equation i and ii we get:x=2 and y=5So the possible combination of albums and singles that Brandi could purchase and stay within her guidelines is10(2) + 5 =25 !