We read your photo as:

Agbeke, Katume, Dalaba, Dramani, and Quainoo received votes in the ratio 14:11:1:52:24 respectively. If the total votes cast were 120, determine: a) The number of votes received by Dalaba. b) The numb

Mathematics

ScanSolve AI Answer

Answer

a

2213\frac{22}{13}

Step-by-step solution

2 steps

Part a· 2 steps

Step 1: Sum the votes for all contestants and equate to the total vote cast.

The total number of votes is the sum of votes for Agbeke, Katume, Dalaba, Dramani, and Quainoo.

14x+11x+x+52+24=12014x + 11x + x + 52 + 24 = 120

  1. Solve the equation for xx.

    Combine the terms with xx:

    (14+11+1)x+(52+24)=120(14+11+1)x + (52+24) = 120 26x+76=12026x + 76 = 120

    Subtract 76 from both sides:

    26x=120−7626x = 120 - 76 26x=4426x = 44

    Divide by 26:

    x=4426=2213x = \frac{44}{26} = \frac{22}{13}

  2. Determine the number of votes acquired by Dalaba.

    Dalaba's votes are given by xx.

    Dalaba’s votes=2213\text{Dalaba's votes} = \frac{22}{13}

    The number of votes acquired by Dalaba is 2213\boxed{\frac{22}{13}}.

Part b

Step 1: Calculate the number of votes for each contestant.

Using x=2213x = \frac{22}{13}:

  • Agbeke: 14x=14×2213=3081314x = 14 \times \frac{22}{13} = \frac{308}{13} votes
  • Katume: $11x = 11 \times \frac{22}{13} = \frac{2
Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QThe results of an election are as follows: Agbeke receives 14 times as many votes as Dalaba. Katume…QA sample of 120 votes were cast for five contestants. The table shows the votes received by four of…QA) Count and write the number of votes for each of the towns. b) Draw a histogram showing the…QAt a rally attended by 200 people, 30% were Fantes, 25% were Asantes, 20% were Gas, 20% were Nzemas…QAbdul and Chebet had 32 and 56 goats respectively. They both sold some goats. Chebet sold twice as…
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp