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ASHA 777 [7]
3 years ago
13

Suppose the length of the vegetable garden is increased by 50%. The new length can be written as (3y + 5) + 1 2(3y + 5) or 1.5(3

y + 5). Explain why both expressions are correct. Then write the new length of the garden in simplified form.
Mathematics
1 answer:
Neko [114]3 years ago
3 0

Answer:

Given:

Length of the garden is represented by :

3y+5

The length is increased by 50%.

To find the new length.

Solution:

1) The original length = 3y+5

The increase in length will be = 50% of 3y+5

⇒ \frac{50}{100}(3y+5)

⇒ \frac{1}{2}(3y+5)

The new length  = <em>Original length + Increased length </em>= (3y+5)+ \frac{1}{2}(3y+5)

2) Let the original length = 100%

Increase percent of length = 50%

Total percent of length = 100\%+50\%=150\%

New length = 150% of 3y+5

⇒ \frac{150}{100}(3y+5)

⇒ 1.5(3y+5)

Thus,  the new length of the garden can be represented by both expression :

(3y+5)+ \frac{1}{2}(3y+5) or 1.5(3y+5)

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