1. The number of mixed fruit tarts is 147 less than that of purple sweet potato tarts. How many purple sweet potato tarts are there?

2. The buffet charges NT[tex]$168 per child, which is NT$[/tex]88 cheaper than the elderly. The charge per adult is NT$143 higher than the elderly. How much does the buffet cost per adult?

3. The bakery sold 353 butter cookies in the morning and 399 butter cookies in the afternoon, leaving 48 unsold butter cookies. How many butter cookies does the bakery have in total?



Answer :

Let's break down the problem into its individual parts and solve each one step by step.

### Part 1: Quantity of Purple Sweet Potato Tarts
We are told that:
- The number of mixed fruit tarts is 147 less than the number of purple sweet potato tarts.

Let's denote the number of purple sweet potato tarts by [tex]\( P \)[/tex]. The number of mixed fruit tarts will then be [tex]\( P - 147 \)[/tex].

Thus, the number of purple sweet potato tarts is [tex]\( P \)[/tex].

### Part 2: Buffet Charges
We are given the following information about the buffet charges:
- The charge for a child is NT\[tex]$168. - The charge for a child is NT\$[/tex]88 cheaper than the charge for an elderly person. Therefore, the charge for an elderly person is NT\[tex]$256. \[ 168 + 88 = 256 \] - The charge for an adult is NT\$[/tex]143 higher than the charge for an elderly person. Therefore, the charge for an adult is NT\[tex]$399. \[ 256 + 143 = 399 \] ### Part 3: Total Butter Cookies We are given the following information about the butter cookies: - 353 butter cookies sold in the morning. - 399 butter cookies sold in the afternoon. - 48 butter cookies remaining unsold. To find the total number of butter cookies, we sum the number sold in the morning, the number sold in the afternoon, and the number unsold: \[ 353 + 399 + 48 = 800 \] ### Summary of Answers: - The number of purple sweet potato tarts: \( P \) - The cost of the buffet for a child: NT\$[/tex]168
- The cost of the buffet for an elderly person: NT\[tex]$256 - The cost of the buffet for an adult: NT\$[/tex]399
- The total number of butter cookies: 800

Thus, the quantities are as follows:
1. The number of purple sweet potato tarts is [tex]\( P \)[/tex].
2. The buffet charge per child is NT\[tex]$168. 3. The buffet charge per elderly person is NT\$[/tex]256.
4. The buffet charge per adult is NT\$399.
5. The bakery has a total of 800 butter cookies.