14. Siti had 135 more red beads than blue beads. After she used half of the red 1/5 of the blue beads there, was an equal number of red beads and blue beads. How many beads did Siti have at first?
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Answer:
585
Step-by-step explanation:
Number of red beads = R
Number of red beads = B
[1] Siti had 135 more red beads than blue beads => R = B + 135
[2] After she used half of the red beads and 1/5 of the blue beads, there was an equal number of red beads and blue beads =>(1/2)R = (4/5)B
I'm not sure whether my equation for [2] is correct.
But I did this.
From [2], (1/2)R = (4/5)B => R = 8/5B
Then I plugged it up in [1]. (8/5)B = B + 134. => B = 225.
I then plugged B in 1. So R = 225 + 135. => R = 360.
Answer: B + R = 585.
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