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Paladinen [302]
2 years ago
5

Fiona and Pip win some money and share it in the ratio 6:1. Fiona gets £35 more than Pip. How much did they get altogether?

Mathematics
1 answer:
Softa [21]2 years ago
3 0

\boxed{ \mathfrak { question↷}}

Fiona and Pip win some money and share it in the ratio 6:1. Fiona gets £35 more than Pip. How much did they get altogether?

\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}

\boxed{ \mathfrak { solution↷}}

Let Pip get be x and fiona get be x+35

Ratio = 6:1

\tt \frac{x + 35}{x }  = 6

\tt \: x + 35 = 6x

\tt \: 5x = 35

\tt \: x = 7

\boxed{ \sf \: Total  \: money = x + x + 35 = 14+ 35 = £49}

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Car A consumes 25 gallon and car B consumes 15 gallon.

Step-by-step explanation:

Given,

The fuel efficiency of car A = 20 miles per gallon.

The fuel efficiency of car B = 15 miles per gallon.

In a week, two cars went 725 miles and consumed 40 gallons.

To find the consumption of each car in that week.

Let,

Car A consumed x gallon

Car B consumed y gallon.

According to the problem,

x+y = 40 ----- (1)

20x+15y = 725

or, 4x+3y = 145 -------- (2)

From (1) we get, x = 40-y

Putting the value of x in (2) we get,

4(40-y)+3y = 145

or, 160-4y+3y = 145

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or, y = 15

From (1) we get, x = 40-15 = 25

Hence,

Car A consumes 25 gallon and car B consumes 15 gallon.

7 0
3 years ago
Which unit rate is the lowest price per ounce? Choice A: 15 ounces of chocolate chips for $2.49 Choice B: 20 ounces of chocolate
Arisa [49]
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You're Welcome i hope i helped
7 0
3 years ago
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Answer:

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Step-by-step explanation:

8 0
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In triangle ABC, angle A is 75o and angle B is 20o. Select the triangle that is similar to triangle ABC.
Arturiano [62]

Answer:

A. \triangleDEF where \angle D = 75^{\circ} and \angle E = 20^{\circ}.

Step-by-step explanation:

At first we must keep in mind that two triangles are similar when they have same angle configuration, that is, each pair of angles is congruent. If \triangleABC and \triangleDEF, then \angle A \equiv \angle D and \angle B \equiv \angle E. Hence, \angle D = 75^{\circ} and \angle E = 20^{\circ}.

In a nutshell, correct answer is A.

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