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Sladkaya [172]
3 years ago
11

Eli has saved $8 more than 1/3 of Angela's savings.If they each save $10 more Eli will have saved &4 more than Angela's savi

ngs.How much has Eli saved?
Mathematics
2 answers:
Keith_Richards [23]3 years ago
4 0

Answer:

Eli has saved $10

Step-by-step explanation:

 Let us denote Angela's saving by "x".

  If Eli's saving is $8 more than one-third of Angela's saving, then Eli's saving   is:

 [(1/3 × x) + 8 = x/3 + 8]

 We will make x/3 + 8 to have a common denominator:

 x/3 + 8 = (x+24)/3

 

 If Eli and Angela each saved $10 more, then their respective savings would have been:

(x+24)/3  +  10 for Eli

x+10 for Angela.

At this savings, Eli would have been $4 richer than Angela.

i.e   [((x + 24)/3) + 10] -  (x+10) = $4

 We will make [(x+24)/3] + 10 to have common denominator.

(x + 24 + 30)/3

= (x + 54)/3

 Then:

  [(x+54)/3]  -  [(x+10)/1] = 4

   [x+54-(3x+30)]/3 = 4/1

    (-2x + 24)/3 = 4

 

    cross multiply

  -2x + 24 = 12

    -2x = -12

       x = -12/-2

       x = 6

  Since Eli's saving = x/3 + 8

Then his actual saving

  = 6/3 + 8

  = 2 + 8

  = $10

statuscvo [17]3 years ago
3 0

Answer:

Eli has saved $10

Step-by-step explanation:

Let us use the first letters of their names to represent them.

A for Angela and E for ELi

So, from the first statement, we can write out an equation: E = \frac{1}{3}A + 8, that is, <em>one-third of Angela's savings + $8 will give us Eli's savings</em>

From the second statement, we can write out: E + 10 = (A + 10) + 4 which means that <em>if $10 is added to both their savings, Eli will still have $4 more than Angela.</em>

So, we can solve both equations;

Equation 1: E = \frac{1}{3}A + 8

Equation 2: E + 10 = (A + 10) + 4; which can be rewritten as E + 10 = A + 14

and then E = A + 4

The two equations (in bold), can then be solved simultaneously.

Let us carry out this operation to <u>eliminate the E:</u> Subtract equation 1 from equation 2, so that;

A + 4 - ( \frac{1}{3}A + 8) = E - E

\frac{2}{3}A - 4 = 0

\frac{2}{3}A = 4

A = 4 × \frac{3}{2} = 6

So, if A is 6, and E = A + 4 (from equation 2, that means that E = 6 + 4 = 10

So, Eli has saved $10, while Angela has saved $6.

If we check what was said in the question about their savings, which is what we have represented using the equations, the answers can be confirmed.

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Explanation

Step 1

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Step 3

replace,

\begin{gathered} \text{density}=\text{ }\frac{mass}{\text{volume}} \\ 0.77\frac{g}{cm^3}=\frac{100g}{\text{volume}} \\ \text{volume}\cdot0.77\frac{g}{cm^3}=\text{1}00\text{ g} \\  \\ \text{Volume}=\frac{100\text{ g}}{0.77\frac{g}{cm^3}} \\ \text{Volume}=129.87cm^3 \end{gathered}

I hope this helps you

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A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack
Bond [772]

The number of small packs is 2 and the number of large packs is 7

Step-by-step explanation:

A school is organizing a cookout where hot dogs will be served. The hot dogs come in small packs and large packs

  • Each small pack has 8 hot dogs
  • Each large pack has 18 hot dogs
  • The school bought 5 more large packs than small packs, which altogether had 142 hot dogs

We need to find the number of small packs purchased and the number of large packs purchased

Assume that the number of the small packs is x and the number of the large pack is y

∵ There are x small packs

∵ Each small pack has 8 hot dogs

∵ There are y large packs

∵ Each large pack has 18 hot dogs

∴ The total number of hot dogs in all packs = 8x + 18y

∵ All packs had 142 hot dogs

- Equate the total number of hot doges by 142

∴ 8x + 18y = 142 ⇒ (1)

∵ The school bought 5 more large packs than small packs

∴ y = x + 5 ⇒ (2)

Now we have system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ 8x + 18(x + 5) = 142

- Simplify the left hand side

∴ 8x + 18x + 90 = 142

- Add like terms in the left hand side

∴ 26x + 90 = 142

- Subtract 90 from both sides

∴ 26x = 52

- Divide both sides by 26

∴ x = 2

- Substitute the value of x in equation (2) to find y

∵ y = 2 + 5

∴ y = 7

The number of small packs is 2 and the number of large packs is 7

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

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Help with this and I’ll mark you as brainliest ❤️
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The answer is C

Step-by-step explanation:

Because 1 is 90 because it shaped like a L 2 is 45 because its narow, and 3 is the smallest of them all. I also did it before

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