What is the inequality shown?
1 answer:
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Cost of each smarties is 5 cents and cost of each jujubes is 2 cents.
Solution:
Let x be the smarties and y be the jujubes.
Cost of 6 smarties and 5 jujubes = 40 cents
⇒ 6x + 5y = 40 ---------- (1)
Cost of 3 smarties and 2 jujubes = 19 cents
⇒ 3x + 2y = 19 ---------- (2)
Subtract 3x on both sides.
⇒ 2y = 19 – 3x
Divide by 2 on both sides.
---------- (3)
Substitute this in equation (1), we get
Multiply 6x by , we get
Multiply by 2 on both sides, we get
12x + 95 – 15x = 80
–3x + 95 = 80
Subtract 95 from both sides, we get
–3x = –15
Divide by –3 on both sides,
x = 5
Substitute x = 5 in equation (3)
⇒ y = 2
Hence cost of each smarties is 5 cents and cost of each jujubes is 2 cents.