早上,陈太太烤了3种不同口味的玛芬蛋糕——巧克力、草莓和香草。巧克力玛芬的数量与草莓玛芬的数量比为 3 : 5。草莓玛芬比巧克力玛芬多 28 个。香草玛芬比草莓玛芬多 10 个。

  1. (a)

    她早上烤了多少个香草玛芬?

    答:(a) ___

  2. (b)

    下午,她又烤了一些巧克力和香草玛芬。巧克力和香草玛芬的总数量变成了草莓玛芬数量的3倍。巧克力玛芬的增长百分比在 8% 到 10% 之间。

    她下午烤了多少个香草玛芬?

    答:(b) ___

先不看答案,让 AI 诊断你卡在哪里?

它不会直接告诉你答案,而是问你卡在哪一步看看 AI 是怎么陪你一步步弄懂这道题的

完整解法

15(a)

1. Find the value of 1 unit using the difference between strawberry and chocolate muffins

Difference in units =5−3=2= 5 - 3 = 2 units
2 units=282 \text{ units} = 28
1 unit=28÷2=141 \text{ unit} = 28 \div 2 = 14

2. Calculate the number of strawberry muffins and then vanilla muffins

Number of strawberry muffins =5×14=70= 5 \times 14 = 70
Number of vanilla muffins =70+10=80= 70 + 10 = 80

答案

8080

15(b)

1. Find the initial number of chocolate, strawberry, and vanilla muffins from the given ratios and differences.

Difference in ratio between strawberry and chocolate =5−3=2= 5 - 3 = 2 units.
2 units=282 \text{ units} = 28
1 unit=141 \text{ unit} = 14
Initial chocolate muffins =3×14=42= 3 \times 14 = 42
Initial strawberry muffins =5×14=70= 5 \times 14 = 70
Initial vanilla muffins =70+10=80= 70 + 10 = 80

2. Calculate the new total number of chocolate and vanilla muffins.

The number of strawberry muffins remains unchanged at 7070.
New total of chocolate and vanilla muffins =3×70=210= 3 \times 70 = 210

3. Determine the number of chocolate muffins baked in the afternoon using the percentage increase.

8% of 42=0.08×42=3.368\% \text{ of } 42 = 0.08 \times 42 = 3.36
10% of 42=0.10×42=4.210\% \text{ of } 42 = 0.10 \times 42 = 4.2
The number of muffins must be a whole number. The only integer between 3.363.36 and 4.24.2 is 44.
Therefore, 44 chocolate muffins were baked in the afternoon.

4. Calculate the number of vanilla muffins baked in the afternoon.

New number of chocolate muffins =42+4=46= 42 + 4 = 46
New number of vanilla muffins =210−46=164= 210 - 46 = 164
Vanilla muffins baked in the afternoon =164−80=84= 164 - 80 = 84

答案

8484

AI 分析,可能出错

用 AI 批改,圈出写错的那一步,并自动将你的薄弱点存入错题本,形成你的错因库。

同一知识点的其他题

  1. 1在一个营地中,儿童的人数是成人人数的 38\frac{3}{8}。儿童中有 29\frac{2}{9} 是男孩,且男人和女人的数量相等。女孩人数与女人人数的比是多少? 答:___
  2. 2拉杰夫人烤了一些玛芬。其中 14\frac{1}{4} 是蓝莓玛芬,25\frac{2}{5} 是巧克力玛芬,其余的是草莓玛芬。 草莓玛芬、蓝莓玛芬与巧克力玛芬的数量之比是多少?
  3. 3托马斯和西蒂拥有的饼干数量之比为 3 : 7。托马斯又买了 42 个饼干,而西蒂吃掉了她自己的 18 个饼干后,他们剩下的饼干数量相等。西蒂起初有多少个饼干? 答:___
  4. 4起初学校操场上共有 2120 名学生。 在 536 名男生和 14\frac{1}{4} 的女生离开后,男生人数与女生人数之比变为 4 : 9。最后操场上的女生比男生多多少人? 答:___
  5. 5把20克糖放入200克水中,糖与糖水的质量比是多少?