Answer:
The ratio 90: 105 is not equivalent to 15: 18 ⇒ C
Step-by-step explanation:
Let us simplify the given ratio to its simplest form first
∵ The ratio is 15: 18
∵ 15 and 18 have a common factor 3
→ Divide each term of the ratio by 3
∴ [tex]\frac{15}{3}[/tex] : [tex]\frac{18}{3}[/tex] = 5: 6
∴ The simplest form of ratio 15: 18 is 5: 6
Let us find which choice will not give us the same ratio 5: 6
∵ 60: 72 have a common factor 12
→ Divide each term of the ratio by 12
∵ [tex]\frac{60}{12}[/tex] : [tex]\frac{72}{12}[/tex] = 5: 6
∴ The simplest form of ratio 60: 72 is 5: 6
∴ The ratio 60: 72 is equivalent to 15: 18
∵ 35: 42 have a common factor 7
→ Divide each term of the ratio by 7
∵ [tex]\frac{35}{7}[/tex] : [tex]\frac{42}{7}[/tex] = 5: 6
∴ The simplest form of ratio 35: 42 is 5: 6
∴ The ratio 35: 42 is equivalent to 15: 18
∵ 90: 105 have a common factor 15
→ Divide each term of the ratio by 15
∵ [tex]\frac{90}{15}[/tex] : [tex]\frac{105}{15}[/tex] = 6: 7
∴ The simplest form of ratio 90: 105 is 6: 7
∴ The ratio 90: 105 is not equivalent to 15: 18
