Question

Define a variable, using let statements, set up an equation, then solve. On the album "1989" by Taylor Swift, Blank Space is 12 seconds longer than Shake it Off. if the combined time of the two songs is 7 minutes and 30 seconds how long is Shake It Off? Give your answer in minutes and seconds.

Answer 1

Let Blank space be represented as b

Let shake it off be represented as s

Blank Space is 12 seconds longer than shake it off

mathematically,

b = s + 12

this means the total time for blank spacce is the summation of shake it off recording time and 12seconds

if the two of the aongs were recorded for 7mimutes 30 seconds

Blank space + shake it off = 7.5 minutes

b + s = 7.5 minutes

let convert 7.5 minutes to seconds

60s ==== 1min

xsec === 7.5min

x * 1 = 60 x 7.5

x = 450seconds

therefore

b + s = 450

b = s + 12 ------- equation 1

b + s = 450 ------- equation 2

substitute b = s + 12 into equation 2

s + 12 + s = 450

collect the like terms

s + s = 450 -12

2s = 438

divide both sides by 2

2s / 2 = 438 /2

s = 219 seconds

convert to minutes

60s ===== 1 min

219s ==== xmin

cross multiplication

x * 60 = 219 x 1

60x = 219

divide both sides by 60

60x / 60 = 219/60

x = 3.65 minutes

x = 3minutes 39 seconds

therefore, shake it off was recorded for 3 mins 39seconds

The answer is 3 minutes 39 seconds