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
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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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