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Georgia [21]
3 years ago
9

Zoe and Hannah share tips in the ratio 3:7. Last week, Zoe received £24. How much did Hannah receive last week?​

Mathematics
2 answers:
valina [46]3 years ago
5 0

Answer:

Hannah received £56 last week

Step-by-step explanation:

Zoe as a ratio of 3 of the tips that was shared with Hannah. if Zoe received £24 for are share of ratio 3, therefore, 1 share ratio is £24/3 = £8.

Since Hannah has 7 share ratio of the tip, and 1 share ratio is £8, therefore, Hannah will receive £8*7 = £56

Therefore Zoe and Hannah share the total ratio of the tips which is 3+7 = 10.

And the total tips shared is £8*10 = £80

frozen [14]3 years ago
4 0

Answer:

56

Step-by-step explanation:

If the ratio of Zoe; Hannah is 3:7 and Zoe got 24 than we have to divide the 24 by 3 so we can multiply it by 7. This is because since the Zoe is the 3 and it isn't a 1 it isn't the starting point for either of the ratios we cannot multiply the 24 by 7.

24 ÷ 3 = 8

Now we multiply the 8 by 7 so that we know have many tips Hannah made

8 × 7 = 56

Hannah made 56 in tips

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You pay $14.82 for 1.5 pounds of ham. You buy 2.25 pounds of roast beef for $12.40 per pound. a. How much less does ham cost per
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Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)<br><br> refer to attachment
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Use properties to rewrite the given equation. Which equations have the same solution as 3/5x +2/3 + x = 1/2– 1/5x? Check all tha
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we have

\frac{3}{5}x+ \frac{2}{3}+x=\frac{1}{2}-\frac{1}{5}x

Combine like terms in both sides

(\frac{3}{5}x+ x)+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x

we know that

(\frac{3}{5}x+ x)=(\frac{3}{5}x+ \frac{5}{5}x)=\frac{8}{5}x

substitute in the expression above

\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x-----> equation A        

Multiply equation A by 5*3*2=30 both sides

30*(\frac{8}{5}x+\frac{2}{3})=30*(\frac{1}{2}-\frac{1}{5}x)

48x+20=15-6x ---------> equation B

Group terms that contain the same variable, and move the constant to the opposite side of the equation

48x+6x=15-20

54x=-5 ---------> equation C

Solve for x

x=-\frac{5}{54} =-0.09

We are going to proceed to verify each case to determine the solution.

<u>Case a)</u> \frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x

the case a) is equal to the equation A

so

the case a) have the same solution that the given equation

<u>Case b)</u> 18x+20+30x=15-6x

Combine like terms in left side

(18x+30x)+20=15-6x

(48x)+20=15-6x

the case b) is equal to the equation B

so

the case b) have the same solution that the given equation

<u>Case c)</u> 18x+20+x=15-6x

Combine like terms in left side

(18x+x)+20=15-6x

(19x)+20=15-6x

19x+6x=15-20\\25x=-5\\x=-0.20

-0.20\neq -0.09

therefore

the case c) not have the same solution that the given equation

<u>Case d)</u> 24x+30x=-5

Combine like terms in left side

54x=-5

the case d) is equal to the equation C

so

the case d) have the same solution that the given equation

<u>Case e)</u> 12x+30x=-5

Combine like terms in left side

42x=-5

x=-5/42=-0.12

-0.12\neq -0.09

therefore

the case e) not have the same solution that the given equation

therefore

<u>the answer is</u>

case a) \frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x

case b) 18x+20+30x=15-6x

case d) 24x+30x=-5

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4 years ago
Read 2 more answers
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