Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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 :

sqdancefan

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.
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.