Mathematics, 03.07.2020 22:01 jenniferjennifer5327

Jonathan has 30 chocolates. He gives some chocolates to his friend David. He then gives Sarah half the number of chocolates that he gave David and gives Lily two-thirds of what he gave David. After giving away the chocolates, Jonathan has 4 chocolates left. If the number of chocolates Jonathan gives David is x, which equation represents the situation? How many solutions does this equation have?

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Answer from: sasalove

equation which represent this situation is 30 - 13x/6 =4

Solution to this equation is x = 12

As we see that there is one equation and degree of x is one thus there is one solution.

Step-by-step explanation:

Total no. of chocolates with Jonathan = 30

no. of chocolates given to David IS x

Given

He then gives Sarah half the number of chocolates that he gave David

no. of chocolates given to Sarah = 1/2 of no. of chocolates given to David

no. of chocolates given to Sarah = 1/2 of x = x/2

Again given

gives Lily two-thirds of what he gave David. After giving away the chocolates

no. of chocolates given to Lily = 2/3 of no. of chocolates given to David

no. of chocolates given to Lily = 2/3 of x = 2x/3

Total no. of chocolates given to David , Sarah and lily = x+x/2+2x/3

LCM of 2 and 3 is 6

Total no. of chocolates given to David , Sarah and lily =( 6x + 3x+ 4x)/6

Total no. of chocolates given to David , Sarah and lily =13x/6

Now, additional information in the problem is

After giving away the chocolates, Jonathan has 4 chocolates left

Chocolate left with Jonathan = Total no. of chocolates with Jonathan - Total no. of chocolates given to David , Sarah and lily

4 = 30 - 13x/6

=> 4 + 13x/6 = 30

=> 13x/6 = 30-4 = 26

=> x = 26*6/13 = 2*6 =12

Thus, equation which represent this situation is 30 - 13x/6 =4

Solution to this equation is x = 12

As we see that there is one equation and degree of x is one thus there is one solution.

Answer from: Quest

Funds fun jf j efj did i.e. c he'd midi code oexpwxo.pax,lexie x cucumber ice jd cud jd jf j k k j d

Answer from: Quest

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

= $\sqrt{(9-6)^{2} +(12-6)^{2} } \\=\sqrt(45)=3\sqrt(5)$

side j'k'=distance between j' and k'

= $\sqrt{(3-2)^{2} +(2-4)^{2} } \\=sqrt(5)$

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

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Jonathan has 30 chocolates. He gives some chocolates to his friend David. He then gives Sarah half t...

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