Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown. What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4?

Question

Nelson Ball

Mathematics

4 July, 20:58

Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown. What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4?

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Answers (1)

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Dexter Chung · Answer 1

Multiplication property of equality

Step-by-step explanation:

x/4=36/16

Cross product

16*x=36*4

16x=144

Divide both sides by 16

x=144/16

=9

What property allowed her to go from

x/4=36/16

To

x/4*4=36/16*4

Multiplication property of equality would allow her to go from

x/4=36/16

To

x/4*4=36/16*4