Solve the following word problem Manny is two

Solve the following word problem. Manny is two years older Enrique. The sum of their ages is 40. How old is Manny and Enrique? Let: m = Manny’s age m = e + 2 m + e = 40 e = Enrique’s age Solve the system ( e + 2 ) + e = 40 m = e + 2 2 e + 2 = 40 m = 19 + 2 2 e = 38 m = 21 e = 19 Manny is 21 and Enrique is 19

13. 03 Using Systems to solve Word Problems (Perimeter)

To solve a word problem using a system: 1) read the problem carefully 2) assign variables and set up a system 3) solve the system 4) answer the question Rectangle Perimeter Width P = 2 L + 2 W Length

Solve the following word problem. The perimeter of a rectangle is 24. The width is 2 more than its length. Find the dimensions of the rectangle. Let: L = length 2 L + 2 W = 24 W = L + 2 W = width Solve the system 2 L + 2(L + 2) = 24 W = L + 2 2 L + 4 = 24 W = 5 + 2 4 L + 4 = 24 4 L = 20 W = 7 L = 5 Length is 5 and Width is 7

Solve the following word problem. The sum of the length and width of a rectangle is 13. The difference of the length and width is 5. Find the perimeter of the rectangle. Let: L = length L + W = 13 L – W = 5 _______ W = width Solve the system L + W = 13 2 L = 18 9 + W = 13 L = 9 W = 4 P = 2 L + 2 W → P = 2(9) + 2(4) Perimeter is 26

Solve the following word problem. The sum of the length and width of a rectangle is 14. The length plus twice the width equals 24. Find the perimeter of the rectangle. Let: L = length L + W = 14 L + 2 W = 24 W = width Solve the system L + W = 14 –________ L – 2 W = – 24 L + W = 14 L + 10 = 14 – W = – 10 L = 4 W = 10 P = 2 L + 2 W → P = 2(4) + 2(10) Perimeter is 28

Solve the following word problem. The perimeter of a rectangle is 16. Three times the length plus five times the width is 34. Find the dimensions of the rectangle. Let: L = length 2 L + 2 W = 16 3 L + 5 W = 34 6 L + 6 W = 48 – 6 L – 10 W = – 68 _________ W = width Solve the system 2 L + 2 W = 16 2 L + 2(5) = 16 2 L + 10 = 16 – 4 W = – 20 2 L = 6 W = 5 L = 3 Length is 3 and Width is 5