Solve the simultaneous equation x + 2y =2 and 2x + 5y = 4
2 answers:
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Answer:
One possible solution be -
Mrs. Cho is brings type A cans = 10
Mrs. Cho is brings type B cans = 3
Step-by-step explanation:
Let us assume
Mrs. Cho is brings type A cans = x
Mrs. Cho is brings type B cans = y
As given,
For a type A can, she gets 5 cents and For type B can, she gets 10 cents
As we have x Type A cans and y Type B cans
And she has redeemed no more than 95 cents
⇒5x + 10y ≤ 95 .......(1)
Also given,
She has redeemed at least 11 cans
⇒ x + y ≥ 11 ........(2)
∴ we get
x + y ≥ 11
5x + 10y ≤ 95
By applying graphical method , we get
The equations become
5x + 10y = 95 .......(1)
x + y = 11 ........(2)
Table for equation (1) -
x y
0 9.5
19 0
Table for equation (2) -
x y
0 11
11 0
The two lines intersect at point (3, 8)
So the possible combinations are in the shaded portion which is covered by both the lines.
One possible combination is ( 10, 3) which lies in the shaded region.
So,
Mrs. Cho is brings type A cans = x = 10
Mrs. Cho is brings type B cans = y = 3
