3x3 systems word problems

The sum of three numbers is 16. The largest number is equal to the sum of the other two, and 3 times the smallest number is 1 more than the largest. Find the three numbers.

• largest number is 8

  middle number is 5

  smallest number is 3

• largest number is 10

  middle number is 4

  smallest number is 2

• largest number is 8

  middle number is 4

  smallest number is 4

• largest number is -9

  middle number is 5

  smallest number is 3

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

A cashier has 25 coins consisting of nickels, dimes, and quarters with a value of $4.90. If the number of dimes is 1 less than twice the number of nickels, how many of each type of coin does she have?

• nickels is 20

  dimes is 3

  quarters is 2

• nickels is 3

  dimes is 5

  quarters is 17

• nickels is 13

  dimes is 10

  quarters is 2

• nickels is 12

  dimes is 10

  quarters is 3

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

A pizza shop, 2 small pizzas, a liter of Pepsi, and a salad cost $14. 1 small pizza, 1 liter of Pepsi, and 3 salads cost $15. 3 small pizzas and a liter of Pepsi cost $16. What is the cost of each item separately?

• pizza $5

  liter $1

  salad $4

• pizza $2

  liter $1

  salad $3

• pizza $5

  liter $2

  salad $3

• pizza $5

  liter $1

  salad $3

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

Souvenir hats, T-shirts, and jackets are sold at the Beyonce Concert. 3 hats, 2 t-shirts, and 1 jacket costs $140. 2 hats, 2 t-shirts, and 2 jackets cost $170. 1 hat, 3 t-shirts, and 2 jackets cost $180. What is the cost of each item separately?

• hat $10

  t-shrits $25

  jackets $45

• hat $15

  t-shrits $25

  jackets $45

• hat $15

  t-shrits $20

  jackets $45

• hat $15

  t-shrits $25

  jackets $40

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

Angel has $1,$5, and $10 bills in his wallet. He has a total of 23 bills that have a value of $96. If he has 1 more $1 bill than the combined total of $5 and $10 bills, how many of each bill does he have?

• $1 bills-5

  $5 bills-11

  $10 bills-7

• $1 bills-5

  $5 bills-7

  $10 bills-11

• $1 bills-7

  $5 bills-11

  $10 bills-5

• $1 bills-11

  $5 bills-7

  $10 bills-5

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

On January 22, 2006, Kobe Bryant scored 81 points against the Toronto Raptors. Including three‐pointers, two‐pointers, and 1 point freethrows he made 46 shots. He made three times as many two‐point shots as three‐point shots. How many free‐ throws did Kobe Bryant make?

• 7

• 21

• 18

• 1

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

On Monday, Headley paid $1.70 for two cups of coffee and one doughnut, including the tip. On Tuesday he paid $1.65 for two doughnuts and a cup of coffee, including the tip. On Wednesday he paid $1.30 for one coffee and one doughnut, including the tip. If he always tips the same amount, then what is the amount of each item?

• coffee - $0.40

  doughnuts - $0.35

  tip - $0.55

• coffee - $0.35

  doughnuts - $0.40

  tip - $0.60

• coffee - $0.45

  doughnuts - $0.35

  tip - $0.55

• coffee - $0.50

  doughnuts - $0.35

  tip - $0.55

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.SSE.A.1