A craft box contains red, blue and yellow beads. The ratio of red beads to blue beads is 3 : 4, and the ratio of blue beads to yellow beads is 2 : 5. There are 48 blue beads in the box. What is the total number of beads in the box?
Show Worked Solution
Worked Solution
Step 1: Use the red : blue ratio to find the number of red beads.
Red : Blue = 3 : 4
Blue = 48, so 4 parts = 48 → 1 part = 12
Red = 3 × 12 = 36 beads
Step 2: Use the blue : yellow ratio to find the number of yellow beads.
Blue : Yellow = 2 : 5
Blue = 48, so 2 parts = 48 → 1 part = 24
Yellow = 5 × 24 = 120 beads
Step 3: Find the total number of beads.
Total = Red + Blue + Yellow
Total = 36 + 48 + 120 = 204 beads
The total number of beads in the box is 204.
Correct answer: 204
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