Let's denote the initial amount of money Vanessa had as $ M $.

1. The cost of 3 vases at $ s $ dollars each is $ 3s $.
2. The cost of 5 mugs at $ 2s $ dollars each is $ 5 \times 2s = 10s $.
3. The total amount spent by Vanessa is $ 3s + 10s = 13s $.
4. After spending this amount, Vanessa had $45 left. Therefore, we can write the equation:
$$
M - 13s = 45
$$
5. Solving for $ M $, we add $ 13s $ to both sides of the equation:
$$
M = 45 + 13s
$$

Thus, the amount of money Vanessa had at first is $ 45 + 13s $.

Question

Let's denote the initial amount of money Vanessa had as $ M $.

1. The cost of 3 vases at $ s $ dollars each is $ 3s $.
2. The cost of 5 mugs at $ 2s $ dollars each is $ 5 \times 2s = 10s $.
3. The total amount spent by Vanessa is $ 3s + 10s = 13s $.
4. After spending this amount, Vanessa had $45 left. Therefore, we can write the equation:
   $$
   M - 13s = 45
   $$
5. Solving for $ M $, we add $ 13s $ to both sides of the equation:
   $$
   M = 45 + 13s
   $$

Thus, the amount of money Vanessa had at first is $ 45 + 13s $.

Knowee AI · Accepted Answer

Let's denote the initial amount of money Vanessa had as $ M $.

1. The cost of 3 vases at $ s $ dollars each is $ 3s $.
2. The cost of 5 mugs at $ 2s $ dollars each is $ 5 \times 2s = 10s $.
3. The total amount spent by Vanessa is $ 3s + 10s = 13s $.
4. After spending this amount, Vanessa had $45 left. Therefore, we can write the equation:
   $$
   M - 13s = 45
   $$
5. Solving for $ M $, we add $ 13s $ to both sides of the equation:
   $$
   M = 45 + 13s
   $$

Thus, the amount of money Vanessa had at first is $ 45 + 13s $.

After buying 3 vases at $s each, Vanessa bought 5 mugs at $2s each. If she had $45 left, how much money did she have at first? Leave your answer in terms of $s.

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