Question

Paula and Quinn are twins. Their friends have saved money to buy them some

gifts. Aleta has saved $30, Benji has saved $25, and Carolina has saved $28.
They have done some research on possible gifts and their costs:
. Both Paula and Quinn would like a pair of warm socks that are $7 per pair.
• Paula wants some guitar picks for $6 and a yo-yo that is $7.
Quinn would like some art pencils that are $21.
. Both like chocolate mints that are $4 per box.
●
(a) If they combine their savings, how much will be left after purchasing these
gifts? You may ignore taxes.
(b) Other items they are considering are a hoodie for $20, slippers for $10, a
diary for $6, and a water bottle for $16. They also have to buy some
wrapping paper and ribbons, which is $5 in total for both twins.
If they want to spend all their money and also spend about the same total
amount on each person, which of the additional items could they buy for each
of Paula and Quinn? You may ignore taxes.

Answer 1

To find out the amount of money left after purchasing the gifts and to spend all their money equally on Paula and Quinn, they can buy a hoodie for Paula and slippers for Quinn.

Step-by-step explanation:

(a) To find out how much will be left after purchasing the gifts, we need to calculate the total cost of the gifts and subtract it from the combined savings of Aleta, Benji, and Carolina. Here's the calculation:

Total cost of gifts: (2 * $7) + (1 * $6) + (1 * $7) + (1 * $21) + (2 * $4) = $14 + $6 + $7 + $21 + $8 = $56

Combined savings: $30 + $25 + $28 = $83

Amount left after purchasing gifts: $83 - $56 = $27

(b) If they want to spend all their money and spend about the same total amount on each person, they can divide the remaining $27 equally between Paula and Quinn. They can buy additional items for each of them until they reach this amount. From the given options, they can buy the hoodie for $20 for Paula and the slippers for $10 for Quinn.

Answer 2

After the friends combine their savings and purchase the desired gifts for Paula and Quinn, they would have $27 left. To buy additional gifts and the wrapping supplies while keeping the expenses about the same for each twin and within the remaining budget, they would need to carefully select items or contribute additional money.

Step-by-step explanation:

Calculating Remaining Savings After Gift Purchases

First, we calculate the total savings by adding Aleta's $30, Benji's $25, and Carolina's $28, which equals $83. To find out how much will be left after buying the gifts, we subtract the cost of the items on their wish list:

Two pairs of warm socks at $7 each: $14 (since Paula and Quinn each want a pair)

Guitar picks: $6

Yo-yo: $7

Art pencils: $21

Two boxes of chocolate mints at $4 each: $8

The total cost of these items is $56. Therefore, $83 - $56 leaves us with $27 remaining.

Equally Distributing Remaining Savings on Additional Gifts

To spend all their money and distribute it equally, we consider the cost of additional items and the wrapping supplies:

Hoodie: $20

Slippers: $10

Diary: $6

Water bottle: $16

Wrapping paper and ribbons: $5

With $27 left, they can afford to buy one or a combination of these items that add up close to this amount, ensuring that the cost is split evenly between Paula and Quinn. After considering various pairings, one possible solution is buying slippers ($10) and a diary ($6) for one twin and slippers ($10) and wrapping paper and ribbons ($5) for the other, totaling $31. This would leave a balance of $27 - $31 = $-4, meaning the friends would have to contribute an additional $4 or reconsider the items to fit within the budget.