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第80页

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解:设$A$服装的成本是$x$元,$B$服装的成本是$y$元,
根据题意,得$\begin{cases}x + y = 500\\30\%x + 20\%y = 130\end{cases},$
由$x + y = 500$得$y = 500 - x,$
将$y = 500 - x$代入$30\%x + 20\%y = 130$得:
$0.3x + 0.2\times(500 - x)=130,$
$0.3x + 100 - 0.2x = 130,$
$0.1x = 130 - 100,$
$0.1x = 30,$
$x = 300,$
把$x = 300$代入$y = 500 - x$得$y = 500 - 300 = 200。$
答:$A$服装的成本是$300$元,$B$服装的成本是$200$元。
解:设甲工程队修建有轨电车$x$千米,乙工程队修建有轨电车$y$千米,根据题意,得
$\begin{cases}x + y = 36\\\dfrac{x}{0.06}+\dfrac{y}{0.08}=500\end{cases},$
由$x + y = 36$得$x = 36 - y,$
将$x = 36 - y$代入$\dfrac{x}{0.06}+\dfrac{y}{0.08}=500$得:
$\dfrac{36 - y}{0.06}+\dfrac{y}{0.08}=500,$
$\dfrac{(36 - y)\times0.08}{0.06\times0.08}+\dfrac{y\times0.06}{0.08\times0.06}=500,$
$(36 - y)\times0.08 + y\times0.06 = 500\times0.06\times0.08,$
$2.88-0.08y + 0.06y = 2.4,$
$-0.02y = 2.4 - 2.88,$
$-0.02y = -0.48,$
$y = 24,$
把$y = 24$代入$x = 36 - y$得$x = 36 - 24 = 12。$
答:甲工程队修建有轨电车$12$千米,乙工程队修建有轨电车$24$千米。
解:设每次所用的甲种金属$x$kg,原来这块合金中含甲种金属的百分比是$y,$根据题意,得
$\begin{cases}10y + x=\dfrac{3}{3 + 2}(10 + x)\\10y + x + x=\dfrac{7}{3 + 7}(10 + x + x)\end{cases},$
对$10y + x=\dfrac{3}{5}(10 + x)$化简得:
$10y + x = 6+\dfrac{3}{5}x,$
$10y=6+\dfrac{3}{5}x - x,$
$10y = 6-\dfrac{2}{5}x,$
$y=\dfrac{6-\dfrac{2}{5}x}{10},$
将$y=\dfrac{6-\dfrac{2}{5}x}{10}$代入$10y + x + x=\dfrac{7}{10}(10 + x + x)$得:
$10\times\dfrac{6-\dfrac{2}{5}x}{10}+2x=\dfrac{7}{10}(10 + 2x),$
$6-\dfrac{2}{5}x + 2x = 7+\dfrac{7}{5}x,$
$6+\dfrac{8}{5}x = 7+\dfrac{7}{5}x,$
$\dfrac{8}{5}x-\dfrac{7}{5}x = 7 - 6,$
$\dfrac{1}{5}x = 1,$
$x = 5。$
答:每次所用的甲种金属有$5$kg。