The diagram which represents Mason's ratio of made throws and missed throws in the story is option A.
- The total number of free throws attempted by Mason If Mason made 20 free throws is 28 free throws
- The diagram which represents Jennifer's ratio of bracelet made with neon and bracelet made with pastel in the story is option B
- The number of bracelet Jennifer made with pastel if she made 16 bracelet with neon is 12.
The following are answers to like terms collected respectively
The following expressions are equivalent
- 3 + 4 = 2 + 5
- 4(2 + x) = 8 + 4x
<h3>How to use tape diagram to represent ratio?</h3>
- Throws Mason made = 5
- Throws Mason missed = 2
If Mason made 20 free throws
- Number of throws Mason missed = x
Equate missed throws ratio made throws
2 : 5 = x : 20
2/5 = x/20
cross product
2 × 20 = 5 × x
40 = 5x
divide both sides by 5
x = 40/5
x = 8
Total free throws Mason attempted = Number of throws Mason missed + Number of throws Mason made
= 8 + 20
= 28 free throws
- Number of friendship bracelet made with neon = 4
- Number of friendship bracelet made with pastel = 3
If Jennifer made 16 bracelet with neon
- Number of bracelet made with pastel = x
Equate neon made bracelet ratio pastel made bracelet
4 : 3 = 16 : x
4/3 = 16/x
cross product
4 × x = 3 × 16
4x = 48
divide both sides by 4
x = 48/4
x = 12
Combine the like terms
4d + 5d
= 9d
8r + 6 + 9r - 3
= 8r + 9r + 6 - 3
= 17r + 3
6r - r + 4
= 5r + 4
Determine if the following expressions are equivalent
3 + 4 = 2 + 5
7 = 7
4(2 + x) = 8 + 4x
8 + 4x = 8 + 4x
Read more on tape diagram for ratio:
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