Question

13a. mary is making punch for a party. she makes 95 ounces of punch. she has 2 different size glasses, 6 ounce and 8 ounce. how many 6 - ounce glasses can she fill? how many 8 - ounce glasses can she fill? show your work. 95÷8 = 11 6 ounce glasses 15 8 ounce glasses b. which size cup should she use so she has the least amount of punch left over? explain your answer. she should use

Explanation:

Part 13a

Step1: Calculate 6 - ounce glasses

To find the number of 6 - ounce glasses, we divide the total punch (95 ounces) by 6. Using the division operation $95\div6$.
$95\div6 = 15$ with a remainder. Because $6\times15 = 90$ and $95 - 90=5$. So the number of 6 - ounce glasses is 15.

Step2: Calculate 8 - ounce glasses

To find the number of 8 - ounce glasses, we divide the total punch (95 ounces) by 8. Using the division operation $95\div8$.
$95\div8 = 11$ with a remainder. Because $8\times11 = 88$ and $95 - 88 = 7$. So the number of 8 - ounce glasses is 11.

To find out which cup leaves the least leftover, we calculate the remainder for each cup. For 6 - ounce cups, remainder is $95\bmod6=95 - 6\times15 = 95 - 90 = 5$. For 8 - ounce cups, remainder is $95\bmod8=95 - 8\times11=95 - 88 = 7$. Since $5<7$, the 6 - ounce cup leaves less leftover.

Answer:

Number of 6 - ounce glasses: 15; Number of 8 - ounce glasses: 11

Part 13b