Final answer:
The correct equation to find out how many marbles Erin has left is option (d), which is (4×19) + (7×14) - 23 = m. After calculating, Erin is left with 151 marbles.
Step-by-step explanation:
The correct equation to use to find out how many marbles Erin has left after giving some to her brother is given by the expression (4×19) + (7×14) - 23 = m. This equation takes into account the total number of marbles Erin started with and subtracts those that she gave away. To perform the calculations step by step:
- Multiply the number of bags by the number of marbles in each bag for both sets of bags: 4 bags × 19 marbles/bag = 76 marbles and 7 bags × 14 marbles/bag = 98 marbles.
- Add these amounts together to get the total number of marbles Erin had originally: 76 + 98 = 174 marbles.
- Subtract the number of marbles given to her brother: 174 - 23 = 151 marbles.
Therefore, Erin has 151 marbles left after giving 23 to her brother. Hence, the correct equation from the options provided is option (d).