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# Writing and Solving Equations - PowerPoint PPT Presentation

Writing and Solving Equations. Write an equation and solve. The sum of 38 and twice a number is 124. Find the number. 38+2x=124 x = 43 Four less than half a number is seventeen. Find the number. .5x-4=17 x = 42. Write and solve equation. Find three consecutive integers whose sum is 171.

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### Writing and Solving Equations

• The sum of 38 and twice a number is 124. Find the number.

38+2x=124

x = 43

• Four less than half a number is seventeen. Find the number.

.5x-4=17

x = 42

• Find three consecutive integers whose sum is 171.

x + (x+1) + (x+2) = 171

3x+3 = 171

x = 56

• Find four consecutive integers whose sum is 246.

x + (x+1) + (x+2) + (x+3) = 246

4x + 6 = 246

x = 60

• Burt’s Burger Barn sold 495 hamburgers today. The number sold with cheese was half the number sold without cheese. How many of each kind were sold?

w = with cheese

o = with out cheese

w + o = 495

w = (1/2) o

.5o + o = 495

1.5 o = 495

o = 330

w = 165

• Brian has \$88 in his savings account. If he saves \$3.50 per week, how long will it take him to have \$200 in his account?

x = week

200 = 88 + 3.5 x

x = 32 weeks

• The width of a rectangle is 15 cm. less than the length. The perimeter is 98 cm. Find the rectangle’s dimensions.

w = width

l = length

w = l -15

2w + 2l = 98

• In ∆ABC, ےA is three times as large as B and also 16° larger than C. Find the measure of each angle.

A = 3B

A = 16 + C

A + B + C = 180

3B + B + (3B-16) = 180

7B -16 = 180

B = 28

A = 84

C = 68