QuestionAugust 14, 2025

Example 3 I was given a budget to pay 45 for decorations and buy 3 party favors. The company called and asked me to triple the expenses, since they tripled the number of guests. If my new total budget is 270 write an equation to represent the total budget for the party. How many party favors can I buy? A. 10 B. 20 C. 45 D. 30

Example 3 I was given a budget to pay 45 for decorations and buy 3 party favors. The company called and asked me to triple the expenses, since they tripled the number of guests. If my new total budget is 270 write an equation to represent the total budget for the party. How many party favors can I buy? A. 10 B. 20 C. 45 D. 30
Example 3
I was given a budget to pay 45 for decorations and
buy 3 party favors. The company called and asked me
to triple the expenses, since they tripled the number of
guests.
If my new total budget is 270 write an equation to
represent the total budget for the party. How many
party favors can I buy?
A. 10
B. 20
C. 45
D. 30

Solution
4.1(260 votes)

Answer

C. 45 Explanation 1. Define the equation for the budget Let x be the number of party favors. The initial budget is 45 + 3x. Tripling this gives 3(45 + 3x) = 270. 2. Simplify and solve the equation Simplify to get 135 + 9x = 270. Subtract 135 from both sides to get 9x = 135. Divide by 9 to find x = 15. 3. Calculate the total number of party favors Since the expenses are tripled, multiply x by 3: 3 \times 15 = 45.

Explanation

1. Define the equation for the budget<br /> Let $x$ be the number of party favors. The initial budget is $45 + 3x$. Tripling this gives $3(45 + 3x) = 270$.<br /><br />2. Simplify and solve the equation<br /> Simplify to get $135 + 9x = 270$. Subtract 135 from both sides to get $9x = 135$. Divide by 9 to find $x = 15$.<br /><br />3. Calculate the total number of party favors<br /> Since the expenses are tripled, multiply $x$ by 3: $3 \times 15 = 45$.
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