Melanie bought 4 large gifts and 2 small gifts. Mary bought 1 large gift and 20 small gifts. Each small gift costs $10. They both spent the same amount of money. What's the price of one large gift?

The price of each large gift would be $60.

Melanie: 4x60=240 large gift

2x10=20 small gift

Total: $240+$20=$260

Mary: 1x60=60 large gift

20x10=200 small gift

Total: $60+$200=$260

One large gift costs $60.

Step-by-step explanation:

Mary spent $200 (20 x $10) on small gifts. This means that:

Mary = $200 + 1 large gift

Melanie spent $20 (2 x $10) on small gifts. This mean that:

Melanie = $20 + 4 large gifts

Because the amount Melanie and Mary are equal, we know that:

$200 + 1 large gift = $20 + 4 large gifts

To work out the cost of 1 large gift, you first need to work out the difference of large gifts. (4-1=3). Melanie bought 3 more large gifts than Mary.

This means that:

$200 = $20 + 3 large gifts

Then, subtract $20 from both sides.

$180 = 3 large gifts

Finally, divide both sides by 3 to find the cost of 1 large gift.

$180 : 3 = $60