# FREE OAR Math Skills Question and Answers

#### What is the ratio of Tinalco Limited's first-year coal production to Alcom Plc's anticipated second-year coal production?

Explanation:

Tinalco Year 1: Alcom plc's Year 2

900,000: 450,000

900,000 / 450,000 = 2 = 1:0.5

#### How many of the gears created in March and April weren't of a high standard?

Explanation:

March total = 7,000 cogs

March substandard = 1,000 cogs

7,000 - 1,000 = 6,000 cogs

April total = 8,000 cogs

April Substandard = 3,000 cogs

8,000 - 3,000 = 5000 cogs

6,000 + 5,000 = 11,000

#### How many of the cogs made in March and May were unsatisfactory?

Explanation:

March substandard = 1,000

May substandard = 3,000

Total = 4,000

Total March = 7,000

Total May = 10,000

Overall Total = 17,000

4,000 / 17, 000 × 100 = 23.5%

#### Only 20% of the retail price of a typical cog may be charged for a subpar cog. If a regular cog was subsequently sold for $1.99 and it was assumed that every cog made in May was sold, how much revenue was earned from all cog sales in May?

Explanation:

Step 1 - Calculate the value of standard cogs sold:

Number of standard cogs = total - substandard: 10,000 - 3,000 = 7,000 Standard cogs

Each cog worth $1.99, so total = 7,000 x $1.99 = $13,930

Step 2 - Calculate the value of substandard cogs sold

Number of substandard cogs = 3,000

Value of each = 20% of standard value: 0.2 x $1.99 = $0.398 = $0.40 to nearest cent

Total: $0.4 x 3,000 = $1,200

Step 3 - Total

13,930 + 1,200 = $15,130

#### What is the value of x if 16x + 4 = 100?

Explanation:

First, subtract 4 from both sides to isolate the variable, Then, divide both sides by 16 to solve for x:

16x + 4 - 4 = 100 - 4

16x = 96

16x/16 = 96/16

x = 6

#### What was the entire increase in cog manufacturing from February to April in percentage terms?

Explanation:

April cog production = 8,000

Feb cog production = 4,000

8,000-4,000 / 4,000 ×100 = 100%

#### A $20,000 car loses value every year until only the metal and components are left. Which of the following equations can accurately be used to calculate the car's value at T years after purchase if it takes the car 15 years to lose all value other than the metal and parts, and the metal and parts are worth $755?

Explanation:

If a $20,000 car will only be worth $755 at the very least, that means the car will lose $19,245 in value over the course of 15 years ($20,000 – $755 = $19,245).

Every year, $1,283 is lost ($19245 x 15).

As a result, the formula is 1,283T + 20,000.