A-CED.3:

A culinary arts student bakes two types of cakes, chocolate and lemon, for a bake sale. The student bakes 3 times as many chocolate cakes, c, as lemon cakes, m, and bakes a total of 24 cakes.

Which equations represent the situation?

• c - m = 24

  and

  c = 3m

• c - m = 24

  and

  m = 3c

• c + m = 24

  and

  c = 3m

• c + m = 24

  and

  m = 3c

A culinary arts student bakes two types of cookies, chocolate chip and oatmeal, for a bake sale. The student bakes 4 times as many chocolate chip cookies, c, as oatmeal cookies, o, and bakes a total of 40 cookies.

Which equations represent the situation?

• c - o = 40

  and

  c = 4o

• c - o = 40

  and

  o = 4c

• c + o = 40

  and

  c = 4o

• c + o = 40

  and

  o = 4c

A culinary arts student bakes two types of pies, apple and blueberry, for a bake sale. The student bakes 2 times as many apple pies, a, as blueberry pies, b, and bakes a total of 18 pies.

Which equations represent the situation?

• a - b = 18

  and

  a = 2b

• a - b = 18

  and

  b = 2a

• a + b = 18

  and

  a = 2b

• a + b = 18

  and

  b = 2a

A culinary arts student bakes two types of muffins, blueberry and banana, for a bake sale. The student bakes 5 times as many blueberry muffins, b, as banana muffins, n, and bakes a total of 30 muffins.

Which equations represent the situation?

• b - n = 30

  and

  b = 5n

• b - n = 30

  and

  n = 5b

• b + n = 30

  and

  b = 5n

• b + n = 30

  and

  n = 5b

A tour guide buys fans and bottles of water for individuals on the walking tour. Including taxes, the tour guide pays $3.50 for each fan and $1.50 for each bottle of water, spending exactly $178.50.

Which combination of fans and bottles of water is possible for the given amounts

• 20 fans and 70 bottles of water

• 70 fans and 20 bottles of water

• 30 fans and 49 bottles of water

• 49 fans and 30 bottles of water

A tour guide buys hats and sunglasses for individuals on the walking tour. Including taxes, the tour guide pays $4.00 for each hat and $2.00 for each pair of sunglasses, spending exactly $200.00.

Which combination of hats and pairs of sunglasses is possible for the given amounts

• 30 hats and 35 pairs of sunglasses

• 35 hats and 30 pairs of sunglasses

• 40 hats and 20 pairs of sunglasses

• 20 hats and 40 pairs of sunglasses

A culinary arts student bakes two types of bread, sourdough and rye, for a bake sale. The student bakes 6 times as many sourdough loaves, s, as rye loaves, r, and bakes a total of 42 loaves. Which equations represent the situation?

• s - r = 42 and s = 6r

• s - r = 42 and r = 6s

• s + r = 42 and s = 6r

• s + r = 42 and r = 6s

A culinary arts student bakes two types of pastries, croissants and danishes, for a bake sale. The student bakes 7 times as many croissants, c, as danishes, d, and bakes a total of 56 pastries. Which equations represent the situation?

• c - d = 56 and c = 7d

• c - d = 56 and d = 7c

• c + d = 56 and c = 7d

• c + d = 56 and d = 7c

A culinary arts student bakes two types of tarts, fruit and custard, for a bake sale. The student bakes 8 times as many fruit tarts, f, as custard tarts, c, and bakes a total of 72 tarts. Which equations represent the situation?

• f - c = 72 and f = 8c

• f - c = 72 and c = 8f

• f + c = 72 and f = 8c

• f + c = 72 and c = 8f

A tour guide buys maps and guidebooks for individuals on the walking tour. Including taxes, the tour guide pays $5.00 for each map and $3.00 for each guidebook, spending exactly $150.00.

Which combination of maps and guidebooks is possible for the given amounts?

• 20 maps and 30 guidebooks

• 30 maps and 20 guidebooks

• 25 maps and 25 guidebooks

• 15 maps and 35 guidebooks