Page 145 - Algebra

Explanation:
1. Let the total number of pearls in the necklace be x.
As per the question,
x =𝑥 +𝑥 +𝑥 + 6 353
x = 2𝑥 + 𝑥 + 6 35
For adding algebraic fractions, the denominator should be the same.
LCM of 5, 3 and 1 is 15 x = 10𝑥+3𝑥+90
15
15x = 13x + 90 2x = 90
x = 45
2. Put x = 4 in 𝑥3−2𝑥2+3𝑥−8 𝑥2−10
= 43−2(4)2+3(4)−8 (4)2−10
=64−32+12−8 =36=6
16−10 6
3. Let the number with Peter be x and the number with Sam will be 4x. 1+1 =15
𝑥 4𝑥
LCM of 1 and 4 is 4 4+1 =15
4𝑥
5 =15 4𝑥
1=3 4𝑥
1 = 12x
x= 1 12
Page 144 of 177
Algebra I & II