High School

Flora is planning a party and needs to buy supplies. She has [tex]$15[/tex] to spend. She spends [tex]$2[/tex] on plates, [tex]$5[/tex] on balloons, and [tex]$7[/tex] on prizes for her guests. She has [tex]x[/tex] dollars left over.

Which equation and solution below describe this situation?

A. [tex]x = 15 - 2 - 5 - 7[/tex]

B. [tex]x = 15 - 7 + 2 - 5[/tex]

C. [tex]15 = 7 + 2 + 5 + x[/tex]

D. [tex]15 = 7 - 2 + 5 + x[/tex]

Answer :

Flora starts with \[tex]$15. She spends \$[/tex]2 on plates, \[tex]$5 on balloons, and \$[/tex]7 on prizes. Thus, the total amount spent is

[tex]$$
2 + 5 + 7 = 14.
$$[/tex]

Since the total available is \[tex]$15, the leftover amount, which we call $[/tex]x[tex]$, is found by the equation

$[/tex][tex]$
15 = 2 + 5 + 7 + x.
$[/tex][tex]$

Simplifying the sum, we have

$[/tex][tex]$
15 = 14 + x.
$[/tex][tex]$

Subtracting 14 from both sides gives

$[/tex][tex]$
x = 1.
$[/tex][tex]$

This shows that the correct equation describing the situation is

$[/tex][tex]$
15 = 7 + 2 + 5 + x,
$[/tex]$

which corresponds to option C.

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