Question

Karen knows that next week there will be lots of children at the daycare. because of this, next week she plans to spend more than $20 on apples and bananas. how would your inequality from part a change to represent the amounts of apples and bananas she should buy next week? use complete sentences to explain your reasoning.

Answer 1

Karen's budget for apples and bananas for the daycare next week is more than $20. Using inequalities, this can be represented as 0.50a + 0.20b > $20, reflecting the combined cost of apples and bananas to exceed $20, with 'a' and 'b' indicating the quantity of each fruit.

Step-by-step explanation:

The student has posed a problem involving inequalities and budgeting for buying fruits for a daycare. Based on the given information, to represent the increased budget for apples and bananas Karen plans for the following week, we would set up an inequality that sums the amount spent on apples and bananas to be greater than $20. If we let 'a' represent the number of apples and 'b' represent the number of bananas, and knowing the prices are respectively 50 cents for each apple and 20 cents for each banana, the inequality reflecting next week's planned expenditure would be 0.50a + 0.20b > $20.

The inequality shows that the combination of apples and bananas that Karen buys should total more than $20 in cost, considering the individual prices of each fruit. This budgetary constraint instructs Karen on how to plan her purchases to meet the daycare's needs for the week.

Answer 2

To represent Karen's plan to spend more than $20 on apples and bananas next week using an inequality, we denote the amount spent on apples as 'A' and bananas as 'B' and write the inequality A + B > $20, based on the principle of multiplying quantity by price.

Step-by-step explanation:

The question at hand involves inequality representation in the context of budgeting for the purchase of fruits, specifically apples and bananas, at a daycare. Given that Karen plans to spend more than $20 on these fruits next week, we would formulate an inequality to reflect this plan. The amount spent on apples and bananas combined must be greater than $20. If 'A' represents the amount spent on apples and 'B' represents the amount spent on bananas, the inequality is A + B > $20. This inequality is based on the principle that to compute the amount spent on each fruit, we multiply the quantity by the price, as given in the provided references.