Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Step-by-step explanation:
Let,
Weight of one large bead = x
Weight of one small bead = y
According to given statement;
12x+8y=88 Eqn 1
5x+2y=25 Eqn 2
Multiplying Eqn 2 by 4
[tex]4(5x+2y=25)\\20x+8y=100\ \ \ Eqn\ 3\\[/tex]
Subtracting Eqn 1 from Eqn 3
[tex](20x+8y)-(12x+8y)=100-88\\20x+8y-12x-8y=12\\8x=12[/tex]
Dividing both sides by 8
[tex]\frac{8x}{8}=\frac{12}{8}\\x=1.5[/tex]
Putting x=1.5 in Eqn 1
[tex]12(1.5)+8y=88\\18+8y=88\\8y=88-18\\8y=70[/tex]
Dividing both sides by 8
[tex]\frac{8y}{8}=\frac{70}{8}\\y=8.75[/tex]
Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
