Answer:
CD player X
Step-by-step explanation:
In this question we are asked to compare 3 CD prices to each other and see which one is the cheapest. We will need to use something called decimal multipliers for this question. We will work out the price of each CD player and then analyse after that. To work out the decimal multipliers for decrease question you have minus 100 and then divide by 1 hundred.
CD player X
→ A price of 1500 and 20% off
⇒ Work out the multiplier with the 100 and then divide by a hundred
→ 100 - 20 = 80 → 80 ÷ 100 = 0.8 So the decimal multiplier is 0.8
⇒ Now multiply the price by the decimal multiplier
→ 1500 × 0.8 = 1200
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CD player Y
→ A price of 2000 and 30% off
⇒ Work out the multiplier with the 100 and then divide by a hundred
→ 100 - 30 = 70 → 70 ÷ 100 = 0.7 So the decimal multiplier is 0.7
⇒ Now multiply the price by the decimal multiplier
→ 2000 × 0.7 = 1400
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CD player Z
→ A price of 1800 and 25% off
⇒ Work out the multiplier with the 100 and then divide by a hundred
→ 100 - 25 = 75 → 75 ÷ 100 = 0.75 So the decimal multiplier is 0.75
⇒ Now multiply the price by the decimal multiplier
→ 1800 × 0.75 = 1350
We can see the CD player X is the one that saves the most money
Answer:
Therefore, the CD player X is worth buying, since it only costs 1,200.
CD player X: 1,200
CD player Y: 1,400
CD player Z: 1,350
Step-by-step explanation:
Formula:
discount amount/original price = discount%/100%
For CD player Z:
discount amount = x
original price/regular price = 1,800
discount% = 25%
For CD player Y:
discount amount = x
original price or regular price = 2,000
discount% = 30%
For CD player X:
discount amount = x
original price or regular price = 1,500
discount% = 20%
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For CD player Z
x/1,800 = 25/100
x ⋅ 100 = 25 ⋅ 1,800
100x = 45,000
100x/100 = 45,000/100
x = 450
For CD player Y
x/2,000 = 30/100
x ⋅ 100 = 30 ⋅ 2,000
100x/100 = 60,000/100
x = 600
For CD player X
x/1,500 = 20/100
x ⋅ 100 = 20 ⋅ 1,500
100x = 30,000
100x/100 = 30,000/100
x = 300
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Formula:
Sale price = original price - discount
For CD player Z: 1,800 - 450 = 1,350
For CD player Y: 2,000 - 600 = 1,400
For CD player X: 1,500 - 300 = 1,200
