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Sagot :
Answer:
35
Step-by-step explanation:
Let's make a system of equations for the vegetarian and chicken wraps; one for the total cost of them and one for the total amount sold.
Vegetarian wraps will be represented by variable v and chicken wraps will be represented by the variable c.
- v + 3.40c = 266.20
- v + c = 103
Subtract these equations.
- 2.40c = 163.20
Divide both sides by 2.40.
- c = 68
Substitute this value for c into the second equation.
- v + (68) = 103
Subtract 68 from both sides.
- v = 35
The number of vegetarian wraps sold amounted to 35 in total.
Answer :
- The school cafeteria sold 35 vegetable wraps.
Step-by-step explanation:
- Let the count of vegetarian wraps be x
- Let the count of chicken wraps be y.
Then for the count we have :
→ count of vegetarian wraps + count of chicken wraps = 103
→ x + y = 103......[Equation (i)]
Then for the cost we have :
→ ❲$1.00 * x❳ + ❲$3.40 * y❳ = $266.20
Dropping the dollar signs we get :
→ ❲1.00 * x❳ + ❲3.40 * y❳ = 266.20
→ x + 3.40y = 266.20.....[Equation (ii)]
Substracting equation (i) from equation (ii) we get :
→ 0 + 2.4y = 163.2
→ 2.4y = 163.2
→ y = 163.2 ÷ 2.4
→ y = 68
Now, subsitute the value of y = 68 in equation (i) we get :
→ x + y = 103
→ x + 68 = 103
→ x = 103 - 68
→ x = 35
- Hence, the school cafeteria sold 35 vegetable wraps.
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