Warning! No identities used in the lesson may be submitted. Create your own using the columns below. See what happens when diffe
rent binomials or trinomials are combined. Square one factor from column A and add it to one factor from column B to develop your own identity. Column A (x - y) (x + y) (y + x) (y - x) Column B (x2 + 2xy + y2) (x2 - 2xy + y2) (ax + b) (cy + d)
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1. Dorothy paid $200 for the teddy bear
2. y is more than x by %
Step-by-step explanation:
1. The given is:
- Dorothy bought a teddy bear and sold it at a 20% profit to Kim
- Kim bought a suit costing $100 and dressed the teddy bear up in the suit
- Kim then sold the teddy bear in the suit to Karen for $442
- Kim made a profit of 30%
We need to find how much Dorothy paid for the teddy bear
Assume that Dorothy bought a teddy bear for $x
∵ Dorothy bought a teddy bear for $x
∵ She sold it at a profit 20% to Kim
By using the ratio method
→ Buying price : Profit : Selling price
→ 100% : 20% : 120% ⇒ (100% + 20%)
→ x : : ?
By using cross multiplication
∴ 100% × Selling price = x × 120%
- Divide both sides by 100%
∴ Selling price = 1.2x
∴ Dorothy sold the teddy bear for $1.2x to Kim
∵ Kim bought a suit costing $100 and dressed the teddy bear
up in the suit
∴ The cost of the teddy bear = 1.2x + 100
∵ Kim sold the teddy bear in the suit to Karen for $442
∵ Kim made a profit of 30%
By using the ratio method
→ Cost price : Profit : Selling price
→ 100% : 30% : 130% ⇒ (100% + 30%)
→ 1.2x + 100 : : 442
By using cross multiplication
∴ (1.2x + 100) × 130% = 100% × 422
- Divide both sides by 130%
∴ 1.2x + 100 = 340
- Subtract 100 from both sides
∴ 1.2x = 240
- Divide both sides by 1.2
∴ x = 200
∴ Dorothy bought the teddy bear for $200
Dorothy paid $200 for the teddy bear
2. The given is:
- x is less than y by 25%
- Then y is more than x by how many percent
Assume that y is 100%
∵ y = 100%
∵ x is less than y by 25%
∴ x = 100% - 25%
∴ x = 75%
- The percentage of increasing of y = × 100%
∵ The percentage of increasing of y = × 100%
∴ The percentage of increasing of y = × 100%
∴ The percentage of increasing of y = × 100%
∴ The percentage of increasing of y = %
y is more than x by %
Learn more:
You can learn more about the ratio in brainly.com/question/4713715
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