Lisa has 170 beads. She has blue, red and purple beads each weighing 13 g, 4 g and 8 g respectively. If there are twice as many red beads as there are blue beads and all the beads weigh 1,216 kg, how many beads of each type does Lisa have?
Answers
Answered by
14
Answer :
Lisa has 48 blue needs, 96 red beads and 26 purple beads.
Explanation :
x + y + z = 170
13x + 4y + 8z = 1,216
y = 2x
x + (2x) + z = 170
3x + z = 170
z = 170 – 3x
13x + 4(2x) + 8z = 1,216
21x + 8z = 1 216
21x + 8(170 – 3x) = 1,216
21x + 1,360 – 24x = 1,216
–3x = –144
x = 48
x = 48
y = 2x = 96
z = 170 – 3x = 26
Answered by
6
Answer:
Lisa has 48 blue needs, 96 red beads and 26 purple beads.
x + y + z = 170
13x + 4y + 8z = 1,216
y = 2x
x + (2x) + z = 170
3x + z = 170
z = 170 – 3x
13x + 4(2x) + 8z = 1,216
21x + 8z = 1 216
21x + 8(170 – 3x) = 1,216
21x + 1,360 – 24x = 1,216
–3x = –144
x = 48
x = 48
y = 2x = 96
z = 170 – 3x = 26
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