Craig went to an auction and bought five different items. Use the clues below to determine the price he paid for each item.
1. the chair was the most expensive item, which sold for $95.
2. The range of the prices of the five items was $75.
3. The stereo was the least expensive item.
4. Craig bought the TV for $25.
5. The video game player was $20 more than the TV.
6. The bed as $60 more than the stereo.
What have you done so far to solve this problem?
I got Chair=$95
TV=$25
Stereo=$20
Video Game Player= $45
Bed=$80
Looks good!
To determine the price Craig paid for each item, we can use the given clues and work through the information step by step.
Let's start by organizing the given information:
1. Chair: $95
2. Price Range: $75
3. Stereo: Least expensive
4. TV: $25
5. Video game player: $20 more than the TV
6. Bed: $60 more than the stereo
Now, let's assign variables to the prices of the items:
Chair: $95
TV: $25
Stereo: x
Video game player: x + $20
Bed: x + $60
Considering the price range is $75, the most expensive item (chair) minus the least expensive item (stereo) must equal $75.
Therefore, we have:
$95 - x = $75
Now we can solve for x:
95 - x = 75
x = 95 - 75
x = 20
So the stereo costs $20.
Using this information, let's find the prices of the video game player and bed:
Video game player = x + $20 = $20 + $20 = $40
Bed = x + $60 = $20 + $60 = $80
Now we have the prices for each item:
Chair: $95
TV: $25
Stereo: $20
Video game player: $40
Bed: $80
Therefore, Craig paid $95 for the chair, $25 for the TV, $20 for the stereo, $40 for the video game player, and $80 for the bed.