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Setting up system problems.

Setting up system problems. Things to look for. What are you trying to find and how many? Total words (cost, total) Comparison words (more, less, twice, times, half) Option statements (option, choice, list).

joelle-lancaster
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Setting up system problems.

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  1. Setting up system problems. Things to look for • What are you trying to find and how many? • Total words (cost, total) • Comparison words (more, less, twice, times, half) • Option statements (option, choice, list)

  2. A soccer league offers two options for membership plans. Option A includes an initial fee of $40 and costs $5 per game played. Option B costs $10 for each game played. After how many games will the total cost of the two options be the same? 8 games

  3. Solving systems (word problems) Example An apartment building contains 80 units. Some of these are 1-bedroom units renting for $425 per month and some are 2-bedroom units renting for $550 per month. When the building is entirely rented, the total monthly rental income is $38,375. How many apartments of each type are there?

  4. x y Since there are a total of 80 apartments some are x some are y but they add to 80. $425 $425 $425 $550 $550 $550 $550 80 x + y = Since the x apartments sell for 425, 425x is the total $ for them. Since the y apartments sell for 550, 550y is the total $ for them. Therefore the equation for both sales together is… 38,375 425x + 550y =

  5. Practice 3. Two angles are supplementary(add up to 180). One angle is 400 more than the other angle. What are the measures of the angles?

  6. y0 x0 X 0 + 40 x+ y = 180 y = x + 40

  7. You and several other people are helping your aunt move. At lunch you volunteer to go out to buy sandwiches. You get 6 chicken and 6 beef for $30. For dinner you go to the same place and buy 4 chicken and 8 beef for $30.60. What was the price of each sandwich? = $30 + + = $30.60

  8. At a pizza shop, two small pizzas, a litter of soda, and asaladcost $14. One small pizza, a litter of soda, and threesaladscost $15. Three small pizzas and a liter of soda cost $16. What is the cost of a small pizza, a litter of soda, and a salad? 2p + c + s = 14 p + c + 3s = 15 3p + c = 16

  9. The juice bar at a health club receives a delivery of juice at the beginning of each month. Over a month period, the health club received 1200 gallons of orange juice, 900 gallons of pineapple juice, and 1000 gallons of grapefruit juice. The table shows the composition of each juice delivery. How many gallons of juice did the health club receive in each delivery? .7x + .3y + .3z = 1200 .2x + .3y + .3z = 900 .1x + .2y + .4z = 1000

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