Proportionality>Giving Examples of Ratios as Multiplicative Comparisons(TEKS.Math.6.4.C)
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Texas 6th Grade Math › Proportionality>Giving Examples of Ratios as Multiplicative Comparisons(TEKS.Math.6.4.C)
Sarah has 12 stickers and Jake has 4 stickers. What is the ratio of Sarah's stickers to Jake's stickers?
12 to 4
8 more stickers
4:12
12-4
Explanation
Ratios compare quantities multiplicatively. Sarah to Jake is 12 to 4, which can also be written 12:4 or 12/4 and simplified to 3:1, meaning Sarah has 3 times as many stickers.
The blue ribbon is 15 inches long and the red ribbon is 5 inches long. How do you express this as a multiplicative comparison of blue to red?
10 inches longer
Blue is 3 times as long as red
5 to 15
15-5 inches
Explanation
A multiplicative comparison states how many times as much one quantity is as another. 15 to 5 is the same as 15:5 or 15/5 = 3, so blue is 3 times as long as red.
Jar A has 18 blue marbles and Jar B has 12 blue marbles. What is the ratio of Jar A to Jar B?
6 more marbles
12:18
18/12
18 and 12
Explanation
The ratio A to B is 18/12, which is the same as 18:12 or 18 to 12 and simplifies to 3:2. This compares amounts multiplicatively, not by the difference of 6.
Mia read 20 pages and Leo read 10 pages. What is the ratio of pages Mia read to pages Leo read?
10 to 20
10 fewer pages
20+10
20:10
Explanation
The ratio Mia to Leo is 20:10, which is also 20 to 10 or 20/10 and simplifies to 2:1. This means Mia read 2 times as many pages as Leo.
Basket X has 9 apples and Basket Y has 6 apples. Which shows the ratio of Basket X to Basket Y?
9 to 6
6/9
3 more apples
9-6 apples
Explanation
X to Y is 9 to 6, which is also 9:6 or 9/6 and simplifies to 3:2. This means Basket X has 3/2 (1.5) times as many apples as Basket Y.