Question

Please solve math question FAST

Answer 1

Solution below.

Explanation:

This question tests on the concept of percentages and comparing current and previous values.

Lets analyse the first statement from the question.

Taylor earned 15% more each week in September than in July.

We know that the formula for percentage change:

((Final Value - Initial Value) ÷ Initial Value) × 100

Comparing July and September,

we know that the change is 15% and the Final Value (September) is $207.

So we can substitute values into the formula to find the value for July.

`(207 - july)/(july) * 100 = 15 \\ (207 - july)/(july) = (15)/(100) \\ 207 - july = 0.15july \\ 1.15july = 207 \\ july = (207)/(1.15) \\ = 180`

Now we know Taylor earned $180 in July, we can use the same formula to find the amount she earned in August. Given Initial Value (July) = $180 and percentage change = 10% (She earns 10% more in August than in July)

`(sep - 180)/(180) * 100 = 10 \\ (sep - 180)/(180) = (10)/(100) \\ (sep - 180)/(180) = 0.1 \\ sep - 180 = 0.1 * 180 \\ sep - 180 = 18 \\ sep = 18 + 180 \\ = 198`

Therefore, Taylor earns $198 per week in September.