Warning! No identities used in the lesson may be submitted. Create your own using the columns below. See what happens when diffe
rent binomials or trinomials are combined. Square one factor from column A and add it to one factor from column B to develop your own identity. Column A (x - y) (x + y) (y + x) (y - x) Column B (x2 + 2xy + y2) (x2 - 2xy + y2) (ax + b) (cy + d)
1 answer:
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ANSWER: 32 five-dollar bills
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EXPLANATION:
Let x be number of $5 bills
Let y be number of $10 bills
Since we have total of 38 bills, we must have the sum of x and y be 38
x + y = 38 (I)
Since the total amount deposited is $220, we must have the sum of 5x and 10y be 220 (x and y are just the "number of" their respective bills, so we multiply them by their value to get the total value):
5x + 10y = 220 (II)
System of equations:
Divide both sides of equation (II) by 5 so our numbers become smaller
Rearrange (I) to solve for y so that we can substitute into (II)
Substituting this into equation (II) for the y:
We have 32 five-dollar bills
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If we want to finish off the question, use y = 38 - x to figure out number of $10 bills
32 five-dollar bills and 6 ten-dollar bills