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2. there are 550 students eating lunch in four different picnic areas o…

Question

  1. there are 550 students eating lunch in four different picnic areas of the zoo. how many students are eating lunch at flamingo feast?

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$$\begin{tabular}{|c|c|} \\hline picnic area & number of students \\\\ \\hline giraffe jump & 217 \\\\ \\hline manatee munch & 138 \\\\ \\hline gorilla garden & 97 \\\\ \\hline flamingo feast & ? \\\\ \\hline \\end{tabular}$$
  1. an art teacher had 140 jars of paint. in the first half of the year, her students used 95 jars of paint. the teacher bought 35 more jars of paint. at the end of the year, she had 15 unused jars of paint. how many jars of paint did her students use in the second half of the year?
  1. the cafeteria distributed 940 cartons of milk at breakfast and 1,670 cartons of milk at lunch. the cafeteria had 7,036 cartons of milk at the end of the day. how many cartons of milk did the cafeteria have at the beginning of the day?

Explanation:

Sum the known students

We first find the total number of students eating in the three known picnic areas.
Using the Multi-digit Addition and Word Problems knowledge points:

$$ 217 + 138 + 97 = 452 $$

Subtract from the total

We subtract this sum from the total number of students to find the number at Flamingo Feast.
Using the Multi-digit Subtraction and Multi-step Word Problems knowledge points:

$$ 550 - 452 = 98 $$

Calculate mid-year paint jars

We find the number of paint jars the teacher had after the first half of the year.
Using the Multi-digit Subtraction and Word Problems knowledge points:

  • Starting jars: \(140\)
  • Used in first half: \(95\)
  • Remaining:
$$ 140 - 95 = 45 $$
  • Jars bought: \(35\)
  • Total before second half:
$$ 45 + 35 = 80 $$

Find second half paint usage

We subtract the unused jars at the end of the year from the total available before the second half.
Using the Multi-digit Subtraction and Multi-step Word Problems knowledge points:

  • Unused jars: \(15\)
  • Used in second half:
$$ 80 - 15 = 65 $$

Work backward for milk cartons

We find the starting number of milk cartons by working backward from the end of the day.
Using the Working Backward Strategy and Multi-digit Addition knowledge points:

  • Ending cartons: \(7,036\)
  • Cartons distributed at lunch: \(1,670\)
  • Cartons distributed at breakfast: \(940\)
  • Starting cartons:
$$ 7,036 + 1,670 + 940 = 9,646 $$

Answer:

Question 2

98 students

Question 3

65 jars of paint

Question 4

9,646 cartons of milk