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The most difficult math problem and its answer in primary school
Teacher Shi and Teacher Xiang took 38 children for a spring outing. Which of the following methods is cost-effective?

Mode 1:

Adult: 10 yuan/person

Child: Half price.

Mode 2:

Group ticket: 8 yuan/person (group tickets can be purchased for 10 and 10 or more).

Additional questions: pencil 1.2 yuan, pen 8.5 yuan, ballpoint pen 0.5 yuan. Is six pencils enough to buy a pen? What is the difference (excess)?

(1) This question can be analyzed and calculated according to the number of participants in the spring outing and two ways of purchasing tickets:

Teacher Shi and Teacher Xiang took 38 children for a spring outing, that is, 2 adults and 38 children.

Mode 1: Adult per person 10 yuan, child unit price 10÷2 = 5 yuan. Cost: 10×2+38×5 = 2 10 yuan;

Method 2: Group ticket: 8 yuan/person (group tickets can be purchased for 10 or more people). * * * 38+2 = 40 people, and the cost is 40×8=320 yuan;

2 10 yuan can't get to 320 yuan, so it's more cost-effective to buy tickets in the first way.

(2) Additional question: According to the unit price × quantity purchased = required amount, we can know that it takes 1.2×6 = 7.2 yuan and a pen 8.5 yuan, which is not enough, and the difference is 8.5-7.2 = 1.3 yuan. Solution: (65,438+0) Method 1 Take:

10×2+38×5

=20+ 190,

=2 10 (yuan);

The second way costs:

(38+2)×8

=40×8,

=320 yuan;

2 10 yuan < 320 yuan.

Answer: Option 1 is more cost-effective, 2 10 yuan.

(2) Buy 6 pencils: 1.2×6=7.2 yuan,

8.5 yuan > 7.2 yuan, so it is not enough.

8.5-7.2= 1.3 (yuan).

Answer: The money for six pencils is not enough for a pen. It is 1.3 yuan money. Comments: It is the key to complete this question to determine the total amount of two kinds of tickets according to the number of participants in the spring outing and different ways of purchasing tickets. Don't forget to count two teachers when counting the number of people.