Question

lesson 20 | session 1
3 last year, a rapper performed 40 times. this year, the rapper performs 125% of that number of times.
a. how many times does the rapper perform this year? show your work.
solution
b. check your answer to problem 3a. show your work.
last year: 40 performances
this year: 125% of last year

Explanation:

Step1: Convert percentage to decimal

$125\% = \frac{125}{100} = 1.25$

Step2: Calculate this year's performances

$\text{Performances this year} = 40 \times 1.25 = 50$

Step3: Verify by reverse calculation

$\frac{50}{40} = 1.25 = 125\%$

Answer:

a. 50
b. When we divide this year's number of performances (50) by last year's (40), we get 1.25, which is equal to 125%, confirming the answer is correct.