2/3 of the bead in a box are red, 1/4 are yellow and the rest are blue. there are 42 more red beads than blue beads. How many beads are there altogether?
Answers
Answer:
72 beads
Step-by-step explanation:
from this, you first need to find the fraction of blue beads. 1-2/3-1/4=1/12. because you now know the fraction of blue beads you can now subtract it from the fraction of red beads. 2/3-1/12=7/12, and you multiply by the reciprocal to get the answer. 12/7*42=72
Given: 2/3 of the beads in a box are red, 1/4 are yellow and the rest are blue.
Number of red beads is 42 more than the number of blue beads
To find: Total number of beads
Solution: Let the total number of beads be x.
Then, the number of red beads = 2x/3.
The number of yellow beads = x/4.
The number of blue beads = x - (2x/3 + x/4)
= x - (8x + 3x)/12
= x - 11x/12
= x/12
Now according to the question,
2x/3 - x/12 = 42
⇒ (8x - x)/12 = 42
⇒ 7x/12 = 42
⇒ x = (42 × 12)/7
⇒ x = 72
Therefore, there are 72 beads altogether.
Answer: 72