Last year a video game cost $50. Price increase by 25% this year. What is the new price of this video game?
1 answer:
You might be interested in
The original price is $450.
<u>Step-by-step explanation:</u>
Step 1:
Given details, Discount%, D% = 30 and Selling Price, SP = $315
Step 2:
Write down formula for calculating the Original Price
Selling Price (SP) = Original Price (OP) - Discount (D)
Discount (D) = Original Price (OP) * (D%/100)
Step 3:
Substitute given values in the formula
315 = OP - D
D =
D = 0.3 OP
Step 4:
Substitute value of D in the first formula
315 = OP - 0.3 OP
315 = OP (1 - 0.3) = 0.7 OP
Original Price, OP = 315/0.7 = $450
By applying the knowledge of similar triangles, the lengths of AE and AB are:
a.
b.
<em>See the image in the attachment for the referred diagram.</em>
<em />
- The two triangles, triangle AEC and triangle BDC are similar triangles.
- Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.
<em>This implies that</em>:
- AC/BC = EC/DC = AE/DB
<em><u>Given:</u></em>
<u>a. </u><u>Find the length of </u><u>AE</u><u>:</u>
EC/DC = AE/DB
- Plug in the values
- Cross multiply
- Divide both sides by 5.4
<u>b. </u><u>Find the length of </u><u>AB:</u>
AC = 6.15 cm
To find BC, use AC/BC = EC/DC.
- Plug in the values
- Cross multiply
- Thus:
- Substitute
Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:
a.
b.
Learn more here:
