Equivalent Ratios
Equivalent ratios are also known as proportions. Proportion is an equal ratio. It is an equation in which two ratios are set equal to each other. There are certain problems regarding proportions that can be solved using its different types. Ratio is a comparison of 2 quantities which can be written in colon form, word form, and fraction form.
Answers:
- 3
- 40
- 4
- 2
- 45
- 15
- 14
- 8
- 3
- 9
Solutions:
1. [ ] : 7 = 24 : 56 6. 11 : [ ] = 330 : 450
Let x be the missing number. Let x be the missing number.
x: 7 = 24:56 11:x = 330:450
(x)(56) = (7)(24) (11)(450) = (x)(330)
56x = 168 4950 = 330x
[tex]\frac{56x}{56}[/tex] = [tex]\frac{168}{56}[/tex] [tex]\frac{4950}{330}[/tex] = [tex]\frac{330x}{330}[/tex]
x = 3 x = 15
2. 8 : 3 = [ ] : 15 7. 35 : [ ] = 20 : 8
Let x be the missing number. Let x be the missing number.
8:3 = x:15 35:x = 20:8
(8)(15) = (3)(x) (35)(8) = (x)(20)
120 = 3x 280 = 20x
[tex]\frac{120}{3}[/tex] = [tex]\frac{3x}{3}[/tex] [tex]\frac{280}{20}[/tex] = [tex]\frac{20x}{20}[/tex]
40 = x 14 = x
3. 12 : [ ] = 15 : 5 8. 12 : 15 = [ ] : 10
Let x be the missing number. Let x be the missing number.
12:x = 15:5 12:15 = x:10
(12)(5) = (x)(15) (12)(10) = (15)(x)
60 = 15x 120 = 15x
[tex]\frac{60}{15}[/tex] = [tex]\frac{15x}{15}[/tex] [tex]\frac{120}{15}[/tex] = [tex]\frac{15x}{15}[/tex]
4 = x 8 = x
4. 4 : 16 = [ ] : 8 9. 5 : [ ] = 30 : 18
Let x be the missing number. Let x be the missing number.
4:16 = x:8 5:x = 30:18
(4)(8) = (16)(x) (5)(18) = (x)(30)
32 = 16x 90 = 30x
[tex]\frac{32}{16}[/tex] = [tex]\frac{16x}{16}[/tex] [tex]\frac{90}{30}[/tex] = [tex]\frac{30x}{30}[/tex]
2 = x 3 = x
5. 27 : [ ] = 9 :15 10. 20 : 12 = 15 : [ ]
Let x be the missing number. Let x be the missing number.
27:x = 9:15 20:12 = 15:x
(27)(15) = (x)(9) (20)(x) = (12)(15)
405 = 9x 20x = 180
[tex]\frac{405}{9}[/tex] = [tex]\frac{9x}{9}[/tex] [tex]\frac{20x}{20}[/tex] = [tex]\frac{180}{20}[/tex]
45 = x x = 9
What are equivalent ratios: https://brainly.ph/question/9768781
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