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Answered

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Heather, Jim, and Felipe served a total of 90 orders Monday at the school cafeteria. Felipe served 3 times as many orders as Heather. Jim served 5 more orders than Heather. How many orders did they each serve?

Sagot :

Answer:

Heather served 10 orders.

Felipe served 30 orders.

Jim served 50 orders.

What we know:

Let's refer to each person by their first initial (H, J, & F)

H + J + F = 90

F = 3 * H

J = 5 * H

Substitution:

Let's replace F and J by their equivalents in relation to H (basically making the entire left side only H)

H + (5 * H) + (3 * H) = 90

H + (5H) + (3H) = 90

9H = 90

H = 90/9

H = 10

Final Calculations

Now that we know how many orders Heather served, we can calculate how many Jim and Felipe served

F = 3 * H

F = 3 * 10

F = 30

J = 5 * H

J = 5 * 10

J = 50

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