Answer:
- The value of
- The value of
Step-by-step explanation:
Let
and
As is exactly divisible, so, the remainder is 0.
∴
As the R.H.S becomes 0 when and .
And
by substituting
by substituting
Adding Equation [A] and equation [B]
Subtracting Equation [A] and equation [B]
Therefore,
- The value of
- The value of
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Commutative property of multiplication3x4 = 4x3 = 12
Assuming the cost of a bag of popcorn is p and that of candy bars is b, then;
Troy ; 28p +40b = 282
Jake; 17b + 20b = 160.50
Solving the two equations simultaneously,
20(28p +40b =282)
40(17p + 20b =160.5)
we get;
560p +800b = 5640
680p + 800b = 6420 subtracting to eliminate b;
-120p= -780
p = 6.50
Replacing the value of p in either equation to get b;
17 (6.5) +20b =160.5
20b = 50
b = 2.50
Therefore the cost of a bag of popcorn is 6.50