The tape was cut in two in a ratio of 3: 5. The length of the smaller part is 36 cm. Find the length of the entire tape.

let x be the length of one part of the tape. The smaller part of the tape is then 3x (cm), and the second 5x (cm). we find out what the length x is equal to, since we know that the smaller part is 36cm and this is 3x then, 3x = 36 hence 36: 3 = 12cm is the length of x. The length of the entire tape is 3x + 5x = 8x. Now 8 * 12 = 96cm is the length of the entire tape