Question

Learning Task 3: Translate each problem into a mathematical equation.

1. The price of 32" LED television is P15.500 less than twice the price of
the old model. If it cost P29.078.00 to buy a new 32" LED television.
What is the price of the old modela
2. The perimeter of the rectangle is 96 when the length of a rectangle
is twice the width. What are the dimensions of the rectangle​

Answer 1

Answer:

ans. length 64 and width is 32

Answer 2

Answer 1) :-

Let us assume that, price of the old model is Px .

so,

→ Price of 32" LED television = P(2x - 15.500)

A/q,

→ (2x - 15.500) = 29.078

→ 2x = 29.078 + 15.500

→ 2x = 44.578

→ x = P22.289 (Ans.)

Answer 2) :-

Let us assume that, width of the rectangle is x unit.

so,

→ Length = twice of width = 2 * x = 2x unit .

then,

→ Perimeter = 2(Length + width)

A/q,

→ 2(2x + x) = 96

→ 3x = 48

→ x = 16 unit .

therefore,

• Width of rectangle = x = 16 units .
• Length of rectangle = 2x = 32 units.

Hence, the dimensions of the rectangle are 16units and 32 units.

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