季青 asked in 科學數學 · 1 decade ago

英文數學解題

Fred works in a department store. She gets paid an hourly retainer and

fixed percentage of commission on the sales she makes. Last week Fre

d earned $450 gross income agter working 20 hours and selling $3500 worth of merchandise. This week she sold $4000 worth of merchandise and worked for 15 hours which earned her $475. What is Fred's retainer and what percentage of commission is she earning?

我要的不是翻譯 我要的是解答還有算式過程

2 Answers

Rating
  • 寶寶
    Lv 5
    1 decade ago
    Favorite Answer

    Fred works in a department store. She gets paid an hourly retainer and

    fixed percentage of commission on the sales she makes. Last week Fre

    d earned $450 gross income agter working 20 hours and selling $3500 worth of merchandise. This week she sold $4000 worth of merchandise and worked for 15 hours which earned her $475. What is Fred's retainer and what percentage of commission is she earning?

    他這題的意思是說

    Fred 的薪水除了時薪之外 還有一個固定percentage的業績獎金

    那我們把percentage設成 X %

    薪水設為 $ Y / hour

    那我們式子就能列為

    450 = 20 Y + 3500 * X %

    475 = 15 Y + 4000 * X %

      ↓

    把兩個式子簡化一下

    90 = 4 Y + 700 * X %

    95 = 3 Y + 800 * X %

       ↓

    將第一式 * -3 第二式 * 4

    -270 = -12 Y - 2100 * X %

    380 = 12 Y + 3200 * X %

       ↓

    將兩式相加

    110 = 1100 * X %

    X % = 110 / 1100 = 0.10 = 10 %

       ↓

    將10 % 帶回去

    380 = 12 Y + 3200 * 10 %

    12Y = 380 – 3200 * 10 / 100 = 60

    Y = $ 5 / hour

       ↓

    X = 10%

    Y = $ 5 / hour

    Source(s): me
  • 1 decade ago

    X= an hour working retain

    Y= percentage of comission

    450=20X + 3500Y

    475=15X + 4000Y

    25= -5X+500Y

    -5X=500Y-25

    X=100Y-5

    450=20(100Y-5)+3500Y

    450=2000Y-100+3500Y

    550=5500Y

    Y=0.1=10%

    450=20X + 3500(0.1)

    450-350=20X

    100=20X

    X=5

    What is Fred's retainer? 5 dollars per hour retain

    what percentage of commission is she earning? 10% of commission

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