Layla has allotted $76 for gifts while on vacation. She plans to buy a souvenir for her parents for $16 and spend the rest on 4 T-shirts for her friends. If x represents the price, in dollars, of a T-shirt, which inequality correctly represents the money Layla will spend on souvenirs?

A. 4x + 16 ≤ 76
B. 16x + 4 ≤ 76
C. 4x + 16 ≥ 76
D. 16x + 4 ≥ 76

Question

Layla has allotted $76 for gifts while on vacation. She plans to buy a souvenir for her parents for $16 and spend the rest on 4 T-shirts for her friends. If x represents the price, in dollars, of a T-shirt, which inequality correctly represents the money Layla will spend on souvenirs? 

A. 4x + 16 ≤ 76 
B. 16x + 4 ≤ 76 
C. 4x + 16 ≥ 76 
D. 16x + 4 ≥ 76

anonymous · Answer

16 is a constant. she's definitely gonna spend 16. the price of a shirt is unknown, so let's call it x, and she's gonna buy 4 of those. The total sum must be equal to or less than the 76$ allotted. Which equation fits the bill?

anonymous · Answer

Since she alloted $76, the inequality would be <= 76.
Next, she plan to buy a souvenir for $16, so 16 + something <= 76. Then, she wanted 4 t-shirts which cost $x. Altogether, it costs $4x for the t-shirts.
Adding the costs.
4x + 16 <= 76

anonymous · Answer

thanks for explaining it. you're great @alffer1 & @TURITW