Chapter 2.3

22) Taj has three scoops for measuring flour. The largest scoop holds 2 1/2 times as much as the smallest one. The middle scoop holds 1 3/4 times as much as the smallest one.

Describe two different ways in which Taj could measure each of the following quantities. He can use full scoops only.

a) 3 1/4 times as much as the smallest scoop holds

b) 1/2 as much as the smallest scoop holds

First you would have to find the smallest scoop. You think to yourself, " the largest scoop (2 1/2) multiplied by what gives you the largest scoop (2 1/2)?" Then you think to yourself, "the middle scoop (1 3/4) multiplied by what gives you the middle scoop (1 3/4)?"

2 1/2 x _?_= 2 1/2

2 1/2 x _1_= 2 1/2

1 3/4 x _?_= 1 3/4

1 3/4 x _1_= 1 3/4

**What we know**

Can only measure with full scoops.

Smallest scoop equals = 1

Middle scoop= 1 3/4

Largest scoop= 2 1/2

a) One way: 3 1/4 = three middle scoops, take away one small scoop

3 1/4 = 3 x 1 3/4 - 1

3 1/4 = 3/1 x 7/4 - 1

3 1/4 = 21/4 - 1

3 1/4 = 4 1/4 -1

3 1/4 = 3 1/4

Second way: 3 1/4 = one large scoop, plus one middle scoop, take away one small scoop

3 1/4 = 2 1/2 + 1 3/4 - 1

3 1/4 = 5/2 + 7/4 - 1

3 1/4 = 10/4 + 7/4 -1

3 1/4 = 17/4 - 1

3 1/4 = 4 1/4 -1

3 1/4 = 3 1/4

b) One way: 1/2 = one large scoop, take away two small scoops

1/2 = 2 1/2 - 2 x 1

1/2 = 2 1/2 - 2

1/2 = 1/2

Second way: 1/2 = two middle scoops, take away three small scoops

1/2 = 2 x 1 3/4 - 3 x 1

1/2 = 2/1 x 7/4 - 3 x 1

1/2 = 14/4 - 3 x 1

1/2 = 3 2/4 -3

1/2 = 2/4

1/2 = 1/2

Great Post Julibella. You really posted your work really well and organized. Also great job on the steps you did to answer the questions.

ReplyDeleteNice post Julibella! I liked how you made your post easy to understand and how you got your answer is very well explained and showed.

ReplyDeleteGreat post Julibella! I liked the way you made your post! It is very organized and easy to understand. Keep up the good work!

ReplyDeleteGreat job Julibella, I liked how you showing and explaining all your work. Next time you should add a video and a link. Keep up te good work!

ReplyDelete