Amanda cuts of 45-cm ribbon into two pieces in the ratio of 4:5 find the length of the shorter piece.
x equals 20
To find the length of the shorter piece when a ribbon of 45 cm is cut into two pieces in the ratio of 4:5, you can follow these steps:
Step 1: Calculate the total number of parts in the ratio.
The ratio of 4:5 can be simplified to 4/9 + 5/9 = 9/9, which means there are a total of 9 equal parts.
Step 2: Determine the length of each part.
Divide the total length of the ribbon (45 cm) by the total number of parts (9):
45 cm ÷ 9 = 5 cm
Step 3: Compute the length of the shorter piece.
Since the shorter piece is in a ratio of 4:9, you need to find 4 parts out of the total of 9 parts. Multiply the length of each part (5 cm) by the number of parts (4):
5 cm × 4 = 20 cm
Therefore, the length of the shorter piece is 20 cm.
4/9 = x/45
Cross multiply and solve for x.