Math  /  Numbers & Operations

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If there are 36 apples and 60 bananas for a fruit basket, fill out all of the possible ratios of app to bananas that could be made.
There are 36 apples for every 60 bananas ( 36:6036: 60 ratio) There are \square apples for every \square bananas \square Type in an equivalent ratio of apples and bananas.

Studdy Solution
List all equivalent ratios by multiplying the simplified ratio 3:5 3:5 by integer values.
- Multiply by 1: 3×1:5×1=3:5 3 \times 1 : 5 \times 1 = 3:5 - Multiply by 2: 3×2:5×2=6:10 3 \times 2 : 5 \times 2 = 6:10 - Multiply by 3: 3×3:5×3=9:15 3 \times 3 : 5 \times 3 = 9:15 - Multiply by 4: 3×4:5×4=12:20 3 \times 4 : 5 \times 4 = 12:20 - Multiply by 5: 3×5:5×5=15:25 3 \times 5 : 5 \times 5 = 15:25 - Multiply by 6: 3×6:5×6=18:30 3 \times 6 : 5 \times 6 = 18:30 - Multiply by 7: 3×7:5×7=21:35 3 \times 7 : 5 \times 7 = 21:35 - Multiply by 8: 3×8:5×8=24:40 3 \times 8 : 5 \times 8 = 24:40 - Multiply by 9: 3×9:5×9=27:45 3 \times 9 : 5 \times 9 = 27:45 - Multiply by 10: 3×10:5×10=30:50 3 \times 10 : 5 \times 10 = 30:50 - Multiply by 11: 3×11:5×11=33:55 3 \times 11 : 5 \times 11 = 33:55 - Multiply by 12: 3×12:5×12=36:60 3 \times 12 : 5 \times 12 = 36:60
The possible equivalent ratios of apples to bananas are: 3:5,6:10,9:15,12:20,15:25,18:30,21:35,24:40,27:45,30:50,33:55,36:60 3:5, 6:10, 9:15, 12:20, 15:25, 18:30, 21:35, 24:40, 27:45, 30:50, 33:55, 36:60

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