Solving systems—story problems. The second of two numbers is 6 times the first. Their sum is 77. Find the numbers. S = 6F F + S = 77 F + ( ) = 776F 7F=

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Presentation transcript:

Solving systems—story problems

The second of two numbers is 6 times the first. Their sum is 77. Find the numbers. S = 6F F + S = 77 F + ( ) = 776F 7F= 77 F = 11 S = 6 ( )11 S = 66 F = 11 and S = 66

Andy’s weight is 5 pounds less than twice his brothers. Together they weigh 100 pounds. What are their weights? A = 2b - 5 A + b = 100 ( ) + b = 100 2b – 5 2b – 5 + b = 100 3b – 5 = 100 3b = 105 b = 35 A = 2( ) A = 65 A = 65 and b = 35

The length of a rectangle is 4 times the width. The perimeter is 70 inches. Find the length and the width. L = 4W P = 2L + 2W 70 = 2L + 2W 70 = 2( ) + 2W 4W 70 = 8W + 2W 70 = 10W 7 = W L = 4 ( ) 7 L = 28 The length is 28 in and the width is 7 in.

Together, a necklace and a bracelet cost $192. Find the price of each if the necklace costs 3 times as much as the bracelet. N + B = 192 N = 3B ( ) + B = 192 3B 3B + B= 192 4B = 192 B = 48 N + ( ) = N = 144 Necklace = $144, bracelet = $48

Assignment: ws pg 45