Question

Henry raised $7.50 less than Harry. Helen raised twice as much as Harry. Heddy raised a third as much as Harry. Hailey raised $4 less than 3 times as much as Helen. If Heddy raised $40, find the amounts each person raised.

Answer 1

To find the amounts each person raised, first assign a variable to Harry's amount. Then, use the given information and the variable to create equations for each person. Solve for the variable to find Harry's amount, and substitute it into the equations to find the amounts each person raised.

Step-by-step explanation:

To find the amounts each person raised, let's start by assigning variables to each person. Assume that Harry raised $x.

According to the given information, Henry raised $7.50 less than Harry, so Henry raised $(x - 7.50).

Helen raised twice as much as Harry, so Helen raised $2x.

Heddy raised a third as much as Harry, so Heddy raised $(x/3).

Hailey raised $4 less than 3 times as much as Helen, so Hailey raised $(3(2x) - 4).

We also know that Heddy raised $40, so we can solve for x.

$(x/3) = 40

x = 3 * 40

x = 120

Now we can substitute this value back into the expressions for each person to find the amounts they raised:

Henry: $(120 - 7.50) = $112.50

Helen: $2x = $2(120) = $240

Heddy: $(x/3) = $40

Hailey: $(3(2x) - 4) = $(3(2(120)) - 4) = $712

Therefore, Henry raised $112.50, Helen raised $240, Heddy raised $40, and Hailey raised $712.