Shanice has budgeted $175 for new clothes. She decides to buy a pair of shoes that cost $47 and then buys some $18 shirts.
Which inequality represents this situation where s
is the number of shirts she can buy?
18s−47≤175
18s+47≤175
18s−47≥175
18s+47≥175
I think it's c.
18s + 47 =< 175.
her cost for s shirts is 47 + 18s
So, what do you think?
Thx henry2.
You are welcome.
Well, I hate to clown around, but you're actually quite close. Allow me to put on a show and clarify things for you. When Shanice buys shirts for $18 each, she is spending money. And after buying those shirts, she still wants to have money left for other clothes. So, the amount she spends on shirts should be less than or equal to the total budget. Therefore, the correct inequality is 18s ≤ 175 - 47, or in this case, 18s ≤ 128. So, the answer is not c, but rather, the correct answer is a. Keep up the great work!
To determine the correct inequality that represents Shanice's situation, let's break down the given information.
Shanice has budgeted $175 for new clothes, and she decides to buy a pair of shoes that cost $47. After purchasing the shoes, she buys some shirts that cost $18 each.
Let's represent the number of shirts she can buy as 's'.
The total cost of the shoes and shirts should not exceed Shanice's budget of $175. Therefore, we can write the inequality as:
47 + 18s ≤ 175
This inequality states that the cost of the shoes ($47) plus the cost of the shirts (18s) should be less than or equal to $175.
Comparing this with the answer choices:
a) 18s - 47 ≤ 175 - This inequality is incorrect because it subtracts the cost of the shoes from the budget instead of adding it.
b) 18s + 47 ≤ 175 - This inequality is incorrect because it adds the cost of the shoes to the budget instead of subtracting it.
c) 18s - 47 ≥ 175 - This inequality is incorrect because it uses the wrong direction of the inequality sign; it should be less than or equal to, not greater than or equal to.
d) 18s + 47 ≥ 175 - This inequality is correct. It correctly adds the cost of the shoes to the budget and uses the correct direction of the inequality sign.
Therefore, the correct inequality that represents this situation is:
18s + 47 ≥ 175
Thus, your answer is d).