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Mt. Calvary's budget for a swing set to be built for the Children's Church is $900. If the cost of the swing set should be at least one-fourth as much as the fort, how much can be spent on the fort and still build the swing set?

Sagot :

MrRoyalidn

Answer:

[tex]Amount = \$4500[/tex]

Step-by-step explanation:

Represent Swing Set with S and Fort with F

Given

[tex]S = \$900[/tex]

[tex]S = \frac{1}{4}\ of\ F[/tex]  --- S = one-fourth of F

Required

Determine the amount spent on both

Substitute 900 for S in [tex]S = \frac{1}{4}\ of\ F[/tex]

[tex]\$900 = \frac{1}{4} * F[/tex]

Multiply both sides by 4

[tex]4 * \$900 = \frac{1}{4} * F * 4[/tex]

[tex]4 * \$900 = F[/tex]

[tex]\$3600= F[/tex]

[tex]F = \$3600[/tex]

The total amount to be spent it:

[tex]Amount = F + S[/tex]

[tex]Amount = \$3600 + \$900[/tex]

[tex]Amount = \$4500[/tex]

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