PLEASE HELP!! WILL MARK BRAINLIEST!!

Adele, Barbara and Collette share $680 in the ratio 9: 7:4.

(a) Show that Adele receives $306.

(b) Calculate the amount that Barbara and Collette each receive.

(c) Adele changes her $306 into euros (€) when the exchange rate is €1 = $1.125.
Calculate the number of euros she receives.

(d) Barbara spends a total of $17.56 on 5 kg of apples and 3 kg of bananas.
Apples cost $2.69 per kilogram.
Calculate the cost per kilogram of bananas.

(e) Collette spends half of her share on clothes and
of her share on books.
Calculate the amount she has left.

Question

09-06-2021
Mathematics

contestada

PLEASE HELP!! WILL MARK BRAINLIEST!!

Adele, Barbara and Collette share $680 in the ratio 9: 7:4.

(a) Show that Adele receives $306.

(b) Calculate the amount that Barbara and Collette each receive.

(c) Adele changes her $306 into euros (€) when the exchange rate is €1 = $1.125.
Calculate the number of euros she receives.

(d) Barbara spends a total of $17.56 on 5 kg of apples and 3 kg of bananas.
Apples cost $2.69 per kilogram.
Calculate the cost per kilogram of bananas.

(e) Collette spends half of her share on clothes and
of her share on books.
Calculate the amount she has left.

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good job

sreedevi102 sreedevi102 · Answer 1 · 2021-06-09T18:21:15+02:00

Answer:

if u have any doubts feel free to ask :)

Step-by-step explanation:

Sum of ratio : 9 + 7 + 4 = 20

a)

Adele share :

[tex]\frac{9}{20} \times 680 = 9 \times 34 = \$ 306[/tex]

b)

Barbara share :

[tex]\frac{7}{20} \times 680 = 7 \times 34 =\$ 238[/tex]

Collette share :

[tex]\frac{4}{20} \times 680 = 4 \times 34 = \$ 136[/tex]

c)

$ €

1.125 1

306 x

[tex]\frac{1.125}{306} = \frac{1}{x}[/tex] [cross multiply]

[tex]x =\frac{ 306} {1.125}[/tex]

x = €272

Adele receives = €272

d)

Apple Cost

1 kg 2.69

5 kg y

y = 2.69 x 5 = $13.45

Cost of 5kg of apples = $13.45

Cost of 3 kg bananas = 17.56 - 13.45 = $4.11

Banana Cost

3kg 4.11

1 kg z

[tex]z = \frac{4.11}{3}[/tex]

z = $1.37

Cost per kilogram of banana = $1.37

e) Collette share = $136

Half of it on clothes = (1/2) x 136 = $68

(1/5) of her share on books = (1/5) x 136 = 27.20

Balance amount with her = 136 - 27.20 - 68 = $ 40.80