Chery and sabby nigh are nail artists. Cherry charges $75 for a set of nails with designs and sabby charges $70 for the same type set of nails. This week chery made an additional $65 in tips and sabby made an addition $95 in tips. Given that C and S represent the number of sets of nails completed by chery (c) and sabby (s), which expression can be used to represent their combined earnings for the week. (1 point)
A: 145CS + 160
B: 145(C + S) + 160
C: 75C + 70S + 160
D: 65C + 70S + 160
The correct expression to represent their combined earnings for the week is:
C: 75C + 70S + 160
The expression that can be used to represent their combined earnings for the week is:
C: 75C + 70S + 160
Explanation:
- Cherry charges $75 for each set of nails and has completed C sets, so her earnings from the nail sets would be 75C ($75 multiplied by the number of sets).
- Sabby charges $70 for each set of nails and has completed S sets, so her earnings from the nail sets would be 70S ($70 multiplied by the number of sets).
- Both artists also made additional money from tips, $65 for Cherry and $95 for Sabby.
- Finally, they both earned a fixed amount of $160 for the week.
- Therefore, their combined earnings can be calculated by adding the earnings from the nail sets, tips, and the fixed amount: 75C + 70S + 65 + 95 + 160 = 75C + 70S + 320.
So, the expression that represents their combined earnings for the week is:
C: 75C + 70S + 160
To determine the correct expression that represents the combined earnings of Chery and Sabby for the week, let's analyze the information given:
Chery charges $75 for a set of nails with designs and made an additional $65 in tips.
Sabby charges $70 for a set of nails with designs and made an additional $95 in tips.
We need to determine the total earnings for both Chery and Sabby, taking into account the number of sets of nails completed by each of them. Let's break down the components of the earnings for both artists:
For Chery:
- Set of nails with designs: $75 per set
- Additional tips: $65
For Sabby:
- Set of nails with designs: $70 per set
- Additional tips: $95
To express the combined earnings, we can use the following expression:
C: Number of sets completed by Chery
S: Number of sets completed by Sabby
For Chery's earnings, the expression would be: 75C + 65
For Sabby's earnings, the expression would be: 70S + 95
To represent the combined earnings of Chery and Sabby, we would add the expressions:
75C + 65 + 70S + 95
Simplifying the expression, we get:
75C + 70S + 160
Therefore, the correct expression that represents their combined earnings for the week is option C: 75C + 70S + 160.