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數學有2題唔識^_^''幫幫我有20點 >_o

發問:

Use simultaneous equations to solve word problems. 1. In certain day.there are 1000 people visiting the flower exhibition.The admission f ees for each child and each adult are $10 and $25 respectively.If the total income of $22 000 are collected on that day, find the number of adults visiting the exhibiti... 顯示更多 Use simultaneous equations to solve word problems. 1. In certain day.there are 1000 people visiting the flower exhibition.The admission f ees for each child and each adult are $10 and $25 respectively.If the total income of $22 000 are collected on that day, find the number of adults visiting the exhibiti on. 2.In Mak`s fast food shop, the total selling price of 3 hamburgers and 4 cups of cok e is $38,while the total selling price for 5 hamburgers and 1 cup of coke is$35.W hat is the total selling price of 1 hamburger and 1cup of coke? 急...

最佳解答:

1. 第一題可以唔用simultaneous的啊… …都係照用啦…xD 步驟多一個姐都係 Let the number of adults and children visiting the exhibition be a and c: 25a + 10c = 22000 ...(i) { a = 1000 - c ...(ii) Put (ii) into (i): 25a + 10(1000 - a) = 22000 15a = 12000 a = 800 Therefore, there are 800 adults visiting the exhibition. 2. Let the selling price of hamburger and coke be $h and $c respectively. 3h + 4c = 38 ...(iii) { 5h + c = 35 ...(iv) (iv): c = 35 - 5h ... (v) Substitute (v) into (iii): 3h + 4(35 - 5h) = 38 -17h = -102 h = 6 Substitute h = 6 into (iv): 5(6) + c = 35 c = 5 h + c = 6 + 5 = 11 i.e. Total selling price of a hamburger and a cup of coke is $11.

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1. Let the number of adults be X, the number of children be Y. X + Y = $1000 -------------- (1) 25X +10Y = $22000-------- (2) (1) x 10 : 10X + 10Y = $10000 --------- (3) (2) - (3) : 15X = $12000 X = 800 the number of adults is 800. 2. Let the selling price of a hamburger be X, the selling price of a cup of coke be Y. 3X + 4Y = $38 ---------- (1) 5X + Y = $35 ----------- (2) (2) x 4 : 20X + 4Y = $140 ---------(3) (3) - (1) : 17X = $102 X = $6 Put X into (2) : 5(6) + Y = $35 Y = $5 the total selling price of 1 hamburger and 1cup of coke : X + Y = $6 + $5 = $11
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