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Solving Real World Equations #1

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# Solving Real World Equations #1 - PowerPoint PPT Presentation

Solving Real World Equations #1. Kevin and Ronnie painted homes this summer. Kevin earns d dollars each week. Ronnie’s weekly salary was \$40 more than Kevin’s. If Ronnie earned \$160 each week, solve the equation d + 40 = 160 to find h ow much Kevin earns painting homes.

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Solving Real World Equations #1

Kevin and Ronnie painted homes this summer. Kevin earns d dollars each week. Ronnie’s weekly salary was \$40 more than Kevin’s. If Ronnie earned \$160 each week, solve the equation d + 40 = 160 to find how much Kevin earns painting homes.

• Let d = Kevin’s weekly earnings
• d + 40 = 160

- 40 - 40

d = 120

• Kevin earns \$120 each week
Solving Real World Equations #2

One third of the bill, b, to fix your car is for labor. If the cost of labor is \$107, solve the equation to find out the cost of your bill.

• b = 321
• The cost of your bill is \$321
Solving Real World Equations #3

Movie A earned \$225 million at the box office. That is \$38 million less than Movie B, m earned. Solve the equation, m – 38 = 225 to find how much Movie B earned at the box office?

• m – 38 = 225

+ 38 + 38

m = 263

• Movie B earned \$263
Solving Real World Equations #4

Stephen wants to buy 2 Icee’s for each of his friends, x. Stephen bought 102 Icee’s. Solve the equation 2x = 102 to find how many friends Stephen bought Icee’sfor.

• 2x = 102

2 2

x = 51

• Stephen bought Icee’s for 51 of his friends
Quick Check – Word Problems

#1 A Slinky that can bounce down a flight of stairs is made of 80 feet of wire. The Slinky Company has 4000 feet of wire. Solve the equation, 80s = 4000 to find how many toys can be made.

#2 Suppose you work part-time at the Wicomico County Library. You earn \$145.35 for 19 hours, h, of work. Solve the equation, 19h = 145.35 to find how much you earn per hour.

#3 The difference between the highest, x and the lowest temperature in Salisbury today was 37°. The record low temperature was 46°. Solve the equation x – 46 = 37 to find the highest temperature in Salisbury today.

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Translate Real World Equations #1

Write an equation to represent the situation.

Noah received a paycheck on Friday. After buying some athletic shoes for \$112, he had \$96 left. How much was his paycheck?

• Let p = paycheck
• \$112 – athletic shoes bought (subtract)
• \$96 – amount left
• p – 112 = 96
Translate Real World Equations #2

Write an equation to represent the situation.

It costs \$4.00 per car, x, to park at Six Flags Amusement Park. The income from parking totals \$1348 in one day. How many cars parked at Six Flags that day?

• x = number of cars
• \$4 per car – multiply
• \$1348 – income total
• 4x = 1348
Translate Real World Equations #3

Write an equation to represent the situation.

Ms. Brosious scored 123 points bowling last week. This is 14 points more than Mrs. Hogan’s scored, x. How many points did Ms. Brosiousscore?

• Let x = Mrs. Hogan’s score
• 14 – points more than (add)
• 123 – Ms. Brosious’ score
• x+ 14 = 123
Translate Real World Equations #4

Write an equation to represent the situation.

It costs \$3.00 per car, c, to use the hiking trails along the Columbia River Highway. If income from the hiking trails totaled \$1275 in one day, write an equation to find how many cars entered the park.

• Let c = cars that park
• 3 – cost per car (multiply)
• 1275 – total parking income
• 3c = 1275
Quick Check - Translate

Translate thisstatement into an equation

In Japan, 1/5 of the population, x, owns bikes. There are about 65,000,000 people with bikes in Japan. Write an equation to find how many people make up the population of Japan.