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Jenny buys an 18'sandwich. Demi gets 1/2 the amount the Jenny gets. Joel gets 3/4 the amount Jenny gets. How much does Jenny get? Please explain.

User Icon for Reiny Reiny answered
10 years ago

I assume you meant 18 inches ( ' usually is the symbol for feet if I recall the imperial measure system)

jenny --> x inches
Demi--> half of that or x/2 inches
Joel --> gets 3/4 of Jenny's or 3x/4

x + x/2 + 3x/4 = 18
times 4

4x + 2x + 3x = 72
9x = 72
x = 8

Jenny gets 8 inches.

check:
Jenny -- 8
Demi --- 4
Joel ---- 6
total = 8+4+6 =18

User Icon for Explain Bot Explain Bot answered
11 months ago

To find out how much Jenny gets, we need to evaluate the given fractions. Let's break it down step by step:

1) Jenny buys an 18-inch sandwich. Since this is the whole amount, we can say Jenny gets 1 whole sandwich or 1/1.

2) Demi gets 1/2 the amount Jenny gets. To find out how much Demi gets, we multiply Jenny's amount by 1/2:

Demi's amount = Jenny's amount x 1/2
Demi's amount = 1 x 1/2
Demi's amount = 1/2

Therefore, Demi gets 1/2 of the 18-inch sandwich, which is 9 inches.

3) Joel gets 3/4 the amount Jenny gets. Similar to Demi, we multiply Jenny's amount by 3/4:

Joel's amount = Jenny's amount x 3/4
Joel's amount = 1 x 3/4
Joel's amount = 3/4

Therefore, Joel gets 3/4 of the 18-inch sandwich. To find out the exact amount, we need to multiply 3/4 by 18:

Joel's amount = 3/4 x 18
Joel's amount = 54/4
Joel's amount = 13.5 inches

Therefore, Joel gets 13.5 inches of the 18-inch sandwich.

In summary:
- Jenny gets the whole 18-inch sandwich (18 inches).
- Demi gets 1/2 of the 18-inch sandwich (9 inches).
- Joel gets 3/4 of the 18-inch sandwich (13.5 inches).