数学题:一批同学画画,2人合用一瓶红颜料

  • 时间:2020-05-05 19:39:23
  • 分类:数学世界
  • 阅读:151 次

数学题:一批同学画画,2人合用一瓶红颜料,4人合用一瓶黄颜料,6人合用一瓶蓝颜料,已知三种颜料共有44瓶。画画的同学共有多少人?三种颜料各有多少瓶?(最好不用方程解)

数学题解答:这题可以用方程,也可以用算术方法。

一、先用方程:设画画的同学共有x人。

1/2 x + 1/4 x+ 1/6 x = 44

11/12 x = 44

x = 48

再算三种颜料各多少瓶?

红:48 × 1/2 =24(瓶)

黄:48 × 1/4 =12(瓶)

蓝:48 × 1/6 =8(瓶)

二、算术方法:每人用1/2瓶红颜料,1/4瓶黄颜料,1/6瓶蓝颜料,所以每人一共用11/12瓶颜料:

1/2 + 1/4 + 1/6 =11/12(瓶)

人数:44 ÷ 11/12 =48(人)

再算三种颜料各多少瓶?

红:48 × 1/2 =24(瓶)

黄:48 × 1/4 =12(瓶)

蓝:48 × 1/6 =8(瓶)

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