Let's use variables to represent the amount of money each student brought to the mall.
Let:
- Chloe's amount be C
- Luca's amount be L
- Nico's amount be N
- Olivia's amount be O
According to the given information:
1. C = (L/2) + 5
2. N = 2C - 2
3. O = 2L
4. C + L + N + O = 778
Now we can substitute the expressions for C, N, and O into the equation for the total amount of money brought to the mall:
(L/2 + 5) + L + (2(L/2 + 5) - 2) + 2L = 778
Simplify the equation:
(L/2 + 5) + L + (L + 10) - 2 + 2L = 778
L/2 + 5 + L + L + 10 + 2L - 2 = 778
2.5L + 13 = 778
2.5L = 765
L = 306
Now that we have found Luca's amount, we can find the amounts for the other students:
- Chloe: C = (306/2) + 5 = 153 + 5 = 158
- Nico: N = 2(158) - 2 = 316 - 2 = 314
- Olivia: O = 2(306) = 612
Therefore, Chloe brought $158, Luca brought $306, Nico brought $314, and Olivia brought $612 to the mall.
Four students go shopping at Vaughan Mills. Each student brought a different amount of money to the mall. Chloe brought 5 more than half the amount that Luca brought. Nico brought 2 less than double the amount that Chloe brought. Olivia brought 2 times the amount that Luca brought. Together, all four students brought a total of 778 dollars to the mall. How múch money did each student bring to the mall? use let statement
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1 answer