Answered

Discover new knowledge and insights with IDNLearn.com's extensive Q&A platform. Ask your questions and get detailed, reliable answers from our community of experienced experts.

Santa’s workshop produces toy trucks and dolls. Each toy truck costs $4.00 and each doll costs $5.00 to make. In one hour the workshop produced a combined total of 105 toy trucks and dolls, and spent $480 in production costs, how many toy trucks and how many dolls were made in that hour?

Sagot :

Sqdancefanidn

Answer:

  • 45 trucks
  • 60 dolls

Step-by-step explanation:

Let t and d represent the numbers of trucks and dolls produced. The given relations let us write two equations:

  t + d = 105

  4t +5d = 480

Substituting for t, we have ...

  4(105 -d) +5d = 480

  d +420 = 480 . . . . . . . . . simplify

  d = 60 . . . . . . . . . . . . subtract 480

  t = 105 -d = 45

45 trucks and 60 dolls were produced in that hour.

S O L U T I O N:

Let's assume the no. of toy trucks be 't' and the no. of dolls produced 'd'

From the above condition as been expressed in question we can frame two equations i.e,

[tex]:\implies\tt{t + d = 105 \: ...(1)} [/tex]

[tex]:\implies\tt{t = 105 - d}[/tex]

[tex]:\implies\tt{4t + 5d = 480 \: ...(2)}[/tex]

Placing the value of t in equation (2),

[tex]:\implies\tt{4(105 - d) + 5d = 480}[/tex]

[tex]:\implies\tt{420 - 4d + 5d = 480}[/tex]

[tex]:\implies\tt{1d = 480 - 420}[/tex]

[tex]:\implies\tt{d = 60}[/tex]

Placing value of d in eqn (1),

[tex]:\implies\tt{t + d = 105}[/tex]

[tex]:\implies\tt{t + 60 = 105}[/tex]

[tex]:\implies\tt{t = 105 - 60}[/tex]

[tex]:\implies\tt{t = 45}[/tex]

  • Dolls produced were 60 and toy trucks produced were 45.
We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.