9 coins that equal 76 cents
2 answers:
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The given equations are
(a) Solution by graphing both the equations:
Graph for both the equations (i) and (ii) are in the figure. The point of intersection of both the graph is the solution of the equations.
From the graph, the point of intersection is (4,3)).
Hence, the required solution is (4,3).
(b) Solution by elimination method:
Equations (ii) can be written as -x+y=-1, now multiply it by 2, we have
Add equations (i) and (iii), we have
2x-3y=-1
-2x+2y=-2
__________
Putting the value of y=3 in equation (i), we have
Hence, the required solution is (4,4).
(c) Solution by substitution method:
Substituting the value of y from equation (ii) to equation (i), we have
Putting the value of x=4 in equation (i), we have
.
Hence, the required solution is (4,3).
Answer:
1/2 of farm land left.
Step-by-step explanation:
Ok so we know that Chef Ollie has a community garden. And that she uses of the farmland to grow beets. The denominator 6 lets you know immediately that the land is divided into equal 6 pieces. We also know that Chef Ollie uses another
of the farmland to grow kale.
Because the we need to find out how much land Chef Ollie has left, we need to subtract the amount she used from the whole. Before we can do that we must add up the total amount of used land, and since the denominators are the same we can directly add and subtract with having to change the denominator.
Step 1: Write down important numbers.
,
,
Step 2: Add those numbers together.
or
Step 3: Write an expression/equation.
Step 4: Solve
=
(can be written both ways)
And you get your answer: After Chef Ollie has used to grow beets and
to grow kale, she has
of her farmland left untouched.
To represent this you could draw a circle divided in 6 pieces and shade 3 of them, or simply draw a circle and shade half. As well as drawing a rectangle and dividing it into 6 pieces, shading 3, or draw a rectangle, and shade half.
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