如何看考生思维逻辑，AEAS数学例题来帮你

　　作为澳大利亚中学的入门考试，AEAS考试的重要性就不用我多说了，很多需要参加AEAS考试的同学，只顾做AEAS考试的备考了。其实，对于AEAS考试的备考，首先要了解的一定是AEAS数学考试。AEAS是Australian Education Assessment Service, 澳大利亚教育评估服务机构的简称,成立于1985年，30年来一直致力于为准备进入澳大利亚初高中学习的国际学生提供高水平的综合性测试服务。小编为大家整理了一些AEAS数学考试例题的相关资讯，一起去看看吧。

　　There are two acid solutions S1 and S2, such that S1 contains 50% acid and S2 contains 70% acid. What quantities of S1 and S2 should be mixed to get 10 liters of a solution that contains 54% acid.

　　有S1和 S2两种酸溶液，S1中酸的浓度为50%，S2中酸的浓度为70%.需要多少S1和 S2溶液混合才能得到10升浓度为54%的溶液?

　　Answer:

　　8 liters of S1 and 2 liters of S2

　　Step 1

　　Let the quantities of solutions mixed together be x and y. The first equation, according to the question, is x + y = 10 as their quantities sum up to a total of 10 litres.

　　Step 2

　　The quantity of acid in one litre of the first solution will be equal to 50/100 *1 = 0.5liters

　　Step 3

　　Similarly, the quantity of acid in one litre of the second solution will be equal to 70/100*1=0.7liters

　　Step 4

　　The quantity of acid in one litre of the final mixture is 54/100*1=0.54liters

　　Step 5

　　Since, the first and second solutions are mixed in their respective quantities to 10 litres of the final equation, we can say that x × 0.5 + y × 0.7 = 10 × 0.54

　　or, 0.5x + 0.7y = 5.4

　　Step 6

　　We now have two linear equations in two variables. Let us solve them:

　　x + y = 10

　　or, x = 10 – y ——(1)

　　0.5x + 0.7y = 5.4 ——(2)

　　Substitute the value of x in equation (2)

　　0.5(10 – y) + 0.7y = 5.4

　　or, 5 – 0.5y + 0.7y = 5.4

　　or, -0.2y = -0.4

　　or, y = 2

　　Substitute the value of y in equation (1)

　　x = 10 – 2 = 8

　　Step 7

　　Hence, 8 litres of solution S1 and 2 litres of solution S2 are mixed together to form the given solution.

　　以上就是小编为大家整理的关于澳大利亚AEAS数学考试备考的全部内容。小编提醒大家在AEAS考试的备考过程中需要多做AEAS真题，总结一些比较常考的AEAS考试内容。关于AEAS考试你还有什么问题吗，联系我们获取更多AEAS考试资讯。祝大家都取得满意的AEAS成绩。